The substitution method is used in elimination to find the solution to the equation.
What is the system of two equations?A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.
The given equation in the problem is;
Equation P: a - b = 9
Equation Q: a+b=5
The value obtained from the equation P is;
a - b = 9
a=b+9
Substitute the value in the equation Q;
a+b=5
b+9+b=5
2b=9-5
b=2
The value of a is;
a-b=9
a-2=9
a=9+2
a=11
Hence the value of a and b will be 11 and 2.
To learn more about the system of two equations, refer to the link;
https://brainly.com/question/21620502
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if A×B ={(-1,1),(-1,2),(2,1),(2,2),(3,1),(3,2)}. find A×A and B×B. i need for exam.
Answer:
hope this will help you more
Step-by-step explanation:
Explanation is in the attachmenthope it is helpful to you
stay safe healthy and happy
PLS HELP ASAP, I give 15 pts!
Suppose an isosceles triangle ABC has A=pi/4 and b=c=3. What is the length of a^2?
A. 3^2(2 - sqr2)
B. 3^2( sqr2 - 2)
C. 3^2(2 + sqr2)
D. 3^2 sqr2
Answer:
I believe it would be A 3^2(2-sqr2)
Find the sum of the series -11 - 3 + 5 + 13 + ... + 125 using the series formula.
Answer:
1026
Step-by-step explanation:
Common difference = d = 2nd term - first term
d = -3 - (-11) = -3 +11 = 8
First term = a = -11
First we need to find the number of terms in this series
[tex]a_{n} = 125\\\\a + (n- 1)d = a_{n}\\\\[/tex]
-11 + (n- 1) * 8 = 125
(n-1)*8 = 125 + 11
(n-1) * 8 = 136
n -1 = 136/8
n -1 = 17
n = 17+1
n = 18
[tex]S_{n} =\frac{n}{2}(a+a_{n})\\\\S_{18} =\frac{18}{2}(-11+125)\\\\[/tex]
= 9 * 114
= 1026
solve the following simultaneous equations using SUBTITUTION METHOD
m+3n=7 and 5m-n=3
To check:put value of m and n in both equations
Answer: n=2 and m=1
Step-by-step explanation:
m+3n=7 , 5m-n=3
m=7-3n => 5(7-3n)-n=3
=> 35-15n-n=3
=> -16n=-32
=> n=2
n=2 => 5m-2=3
=> m=1
Jorge needs to reflect a figure across the line y = negative 4. Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.
Jorge should graph in the vertical line with values of –4 for the line of reflection.
Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.
Jorge will not move any point that lies on the line of reflection.
Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
Jorge could check his work by making sure that the image has the same orientation as the original.
Answer:
B: Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
D: Jorge will not move any point that lies on the line of reflection.
E: Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
Step-by
i just took the test lol
Answer:
BDE are the answeres
Step-by-step explanation:
took the quiz
Evaluate: 2(6+4) - 3(5)
70
1
5
85
Answer:
[tex]2(6 + 4) - 3(5) \\ 12 + 8 - 15 \\ = 5[/tex]
Answer:
1
Step-by-step explanation:
2*6+4-3*5
12+4-15
16-15
1
Helpppp and explain :))
Answer:
y = 2x - 7
Step-by-step explanation:
(1,-5) (2,-3)
y2 - y1 / x2 - x1 -3 - (-5) / 2 - 1 2/1 = 2
y = 2x + b
-3 = 2(2) + b
-3 = 4 + b
-7 = b
W=VI. Make V the subject of formula
Answer:
hope that is helpful
Step-by-step explanation:
W= VI
W= VI
I. I
V= W
I
Answer:
V = [tex]\frac{W}{I}[/tex]
Step-by-step explanation:
Given
W = VI ( isolate V by dividing both sides by I )
[tex]\frac{W}{I}[/tex] = V
Can someone help with this problem
Step-by-step explanation:
x+35+25=180
x+60 =180
x = 120.
y+x =18
What is the equation of the following line?
Answer:
last one
y = [tex]\frac{1}{5}[/tex]x
Step-by-step explanation:
slope = [tex]\frac{3-0}{15-0}[/tex] = [tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]
y- intercept is 0
A is the correct answer since x=15
It’s solution in step by step explanation pls help
Answer:
6) [tex]x^2 -4x+1[/tex]
7) 26x-1y +4z
Step-by-step explanation:
long division
____[tex]x^{2}[/tex]__-4x__+1____
x-2 | [tex]x^3-6x^2+9x-2[/tex]
- [tex]x^3-2x^2[/tex]
-----------
[tex]-4x^2+9x[/tex]
[tex]-4x^2+8x[/tex]
----------------
x-2
x-2
Which is the graph of the linear inequality x - 2y > -6?
-10-
2
108
0
o
Answer:
the fourth option
Step-by-step explanation:
1/2x - 2y > -6
1/2x + 6 > y
or
y < 1/2x + 6
so, the solution is all the y values smaller (= below) the line function.
and because it is "<" and not "<=" the line itself is not included
Jordan bikes 4/3 miles in 1/10 hours. What is his Speed in miles per hour?
Answer:
speed=distance / time
speed=(4/3) / (1/10)
speed=13.33miles per hour
Describe fully the single transformation that maps triangle A onto triangle B
Answer:there’s needs to be an image
Step-by-step explanation:
❊ Simplify :
1. [tex] \large{ \tt{ \frac{a + 2}{ {a}^{2} + a - 2 } + \frac{3}{ {a}^{2} - 1 } \: \: \{ANS : \frac{a + 4}{ {a}^{2} - 1 } \}}}[/tex]
2. [tex] \large{ \tt{ \frac{1}{(a - b)(b - c)} + \frac{1}{(c - b)(a - c) } \: \: \{ANS : \frac{1}{(a - b)(a - c) } \}}}[/tex]
-Show your workings! *
- Random/ Irrelevant answers will be reported!
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to simplify:
[tex]\displaystyle \frac{a+2}{a^2+a-2}+\frac{3}{a^2-1}[/tex]
First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:
[tex]\displaystyle =\frac{a+2}{(a+2)(a-1)}+\frac{3}{(a+1)(a-1)}[/tex]
Now, create a common denominator. To do this, we can multiply the first term by (a + 1) and the second term by (a + 2). Hence:
[tex]\displaystyle =\frac{(a+2)(a+1)}{(a+2)(a-1)(a+1)}+\frac{3(a+2)}{(a+2)(a-1)(a+1)}[/tex]
Add the fractions:
[tex]\displaystyle =\frac{(a+2)(a+1)+3(a+2)}{(a+2)(a-1)(a+1)}[/tex]
Factor:
[tex]\displaystyle =\frac{(a+2)((a+1)+3)}{(a+2)(a-1)(a+1)}[/tex]
Simplify:
[tex]\displaystyle =\frac{a+4}{(a-1)(a+1)}[/tex]
We can expand. Therefore:
[tex]\displaystyle =\frac{a+4}{a^2-1}[/tex]
Problem 2)
We want to simplify:
[tex]\displaystyle \frac{1}{(a-b)(b-c)}+\frac{1}{(c-b)(a-c)}[/tex]
Again, let's create a common denominator. First, let's factor out a negative from the second term:
[tex]\displaystyle \begin{aligned} \displaystyle &= \frac{1}{(a-b)(b-c)}+\frac{1}{(-(b-c))(a-c)}\\\\&=\displaystyle \frac{1}{(a-b)(b-c)}-\frac{1}{(b-c)(a-c)}\\\end{aligned}[/tex]
Now to create a common denominator, we can multiply the first term by (a - c) and the second term by (a - b). Hence:
[tex]\displaystyle =\frac{(a-c)}{(a-b)(b-c)(a-c)}-\frac{(a-b)}{(a-b)(b-c)(a-c)}[/tex]
Subtract the fractions:
[tex]\displaystyle =\frac{(a-c)-(a-b)}{(a-b)(b-c)(a-c)}[/tex]
Distribute and simplify:
[tex]\displaystyle =\frac{a-c-a+b}{(a-b)(b-c)(a-c)}=\frac{b-c}{(a-b)(b-c)(a-c)}[/tex]
Cancel. Hence:
[tex]\displaystyle =\frac{1}{(a-b)(a-c)}[/tex]
Please find attached photograph for your answer.
Hope it helps
Do comment if you have any query
Which of the following are square root of the number below? Check all that apply.
81
Answer:
A, B, D, E
Step-by-step explanation:
[tex]\sqrt{81}[/tex] = ± 9 → D and E
Since 9 × 9 = 81 and - 9 × - 9 = 81
[tex]81^{\frac{1}{2} }[/tex] = [tex]\sqrt{81}[/tex] = 9 → B
- [tex]81^{\frac{1}{2} }[/tex] = - [tex]\sqrt{81}[/tex] = - 9 → A
An angel is formed by A: Parallel lines B: any ray and any line C: Two rays that shares the same end point D: any two rays
plz help me
Answer:
c
Step-by-step explanation:
The two figures shown are congruent. Which statement is true?
A). One figure is a translation image of the other.
B). One figure is a rotation image of the other.
C). Neither figure is a translation or rotation image of the other
Answer:
C
Step-by-step explanation:
They are the same without rotation and translation
Solve: 12 p/2
What is p?
Answer:
24
Step-by-step explanation:
p/2 = 12.
To leave the p alone, multiply 2 from both sides.
p = 24
Help me solve this problem please
Answer:
A 2,3,6 :)
Step-by-step explanation:
thats answer corect me if im wrong hope it help
As part of the math assignment, jane makes a graph pf her cookie function. Before handling it in, she compares it to the table. Do the table and the graph represent the same function
Answer:No
Step-by-step explanation:
On Monday, ALL the Grade 7 students either bought their lunch at the canteen or brought their lunch from home. Given that 20% of the students bought their lunch at the canteen and 116 students brought lunch from home, how many students are in Grade 7?
Answer:
145
.8x = 116 (80% of class is 116)
x=145
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLY
If y varies directly with x and
y = 56 when x = 8, find y if x = 4.
First, find the direct variation equation.
y = [ ? ]x
Answer:
y = 7x and y = 28
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 56 when x = 8 , then
56 = 8k ( divide both sides by 8 )
7 = k
y = 7x ← equation of variation
When x = 4
y = 7 × 4 = 28
a cone with base radius 7 cm and a volume of 308cm^3 find the vertical height of the cone
Answer: Using the formula
V=πr2h
3
Solving for h;
h=3V
πr2=3·308
π·72≈6.00241cm
Step-by-step explanation:
Consider the following equations and name the property of equality used to solve for the variable.
A. x + 3.75 = 7
B. –3b = 18
C. StartFraction m Over 5 EndFraction = negative 25
D. m – 4 = 9
9514 1404 393
Answer:
A. subtraction
B. division
C. multiplication
D. addition
Step-by-step explanation:
Observe what is done to the variable. Choose the operation that turns the unwanted value into the appropriate identity element.
A. 3.75 is added. To make that value be 0, we subtract 3.75.
B. -3 is multiplied. To make that value be 1, we divide by -3.
C. m is divided by 5. To make that 1/5 multiplier be 1, we multiply by 5.
D. 4 is subtracted. To make that value be zero, we add 4.
_____
Additional comment
Since subtraction is the same as addition of the opposite, and division is the same as multiplication by the reciprocal, the only two properties we really need are the addition property and multiplication property. Your grader may disagree.
Answer:
Other dude is right.
Step-by-step explanation:
Be safe, have an amazing day. :)
Find the area of the triangle
Find the area of a circle with radius, r = 5.72m.
Give your answer rounded to 2 DP.
r
The diagram is not drawn to scale.
Answer:
A≈102.79
Step-by-step explanation:
The formula for area of a circle is πr² so we need to substitute the r by 5.72.
π×5.7² = 102.79 m²
Answer:
Approximately 102.79 meters squared
Step-by-step explanation:
pi times 5.72 meters squared
Hope this helps!
A caterer is agrranging 72 ham sandwiche and 48 pimento cheese sandwiches on serving trays. He would like to arrange the sandwiches so tht each tray has the same number of each kind of sandwich. The number of ham sandwiches on a tray does not need to equal the number of pimento cheese sandwiches on the tray. What is the maximum number of traysthe caterer can use? .
Answer:
24
Step-by-step explanation:
The greatest number of trays the caterer can split the 72 ham sandwiches and 48 pimento cheese sandwiches into can be determined by calculating the highest common factor and 48 and 72
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Factors of 72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
the highest common factor is 48 ad 72 is 24
Someone please help me ASAP please
Answer:
hey mate
plz mark it as brainliest
Can someone help me with this math homework please!
Step-by-step explanation:
The second equation
[tex]2.4x = 1.2x + 15[/tex]
is the answer for the 1st picture.
2nd, solve for x.
[tex]1.2x = 15[/tex]
[tex]x = 12.5[/tex]
You cant create half a page so let lower it down to 12.
12 is the answer for the second answer.