Solve the following system using substitution, showing all work.
-3x + 2y = 16
2x + y = 1
Note: Failure to show work or to use the substitution method will result in no credit.

Answers

Answer 1

Answer: -3x+2y=16 equals y = 3/2x+8

2x+y=1 equals y= -2x+1

Step-by-step explanation:

Answer 2

Answer:

for the first equation the answer will be,

[tex]x = - \frac{2(8 - y)}{3} [/tex]

if you want me to solve for y instead then the answer will be,

[tex]y = \frac{16 + 3x}{2} [/tex]

for the second equation the answer will be.

[tex]x = \frac{1 - y}{2} [/tex]

if you want me to solve for y instead then the answer will be

[tex]y = 1 - 2x[/tex]

~hope this helps~


Related Questions

A drawing contains 5 circles, 8 triangles, and 6 squares. What is the ratio of triangles to circles? Write the ratio using a fraction.

Answers

Answer:

8:5 or 8/5

Step-by-step explanation:

Error Analysis A student incorrectly simplified the
expression below as shown in the image

Answers

Answer:

Put the a with the b

Step-by-step explanation:

Write an equation that can be used to describe the relationship between x and y shown in the graph in the image

Answers

Answer:

[tex]y=-2x+3[/tex]

Step-by-step explanation:

Equation of straight line in slope intercept form is given as

[tex]y=mx+b[/tex]

Here

Slope of line m=-2 (for every one step on x-axis line going down 2 step on y-axis)

y-intercept b=3

[tex]y=-2x+3[/tex]

If possible can I get help on both?

Answers

Answer:

the first one 120 can be equal to 15×8

Step-by-step explanation:

15×8=15

Given that 1 inch = 2.54 cm, how many centimeters are there in 7 feet? Answers may be written using decimals form and should be rounded to the nearest hundredth when necessary

Answers

Answer:

There are 213.36 centimeters in 7 feet.

Step-by-step explanation:

It is given that:

1 inch = 2.54 cm

We have to find centimeters in 7 feet.

We will convert feet to inches.

1 feet = 12 inches

7 feet = 12*7 = 84 inches

Now,

1 inch = 2.54 cm

84 inches = 2.54 * 84

84 inches = 213.36 cm

Therefore,

There are 213.36 centimeters in 7 feet.

I need help on Question 25 please ASAP

Answers

Answer: - 13

USE BEDMAS to solve:

-3 · 5 + (-1)^4 · 8 - 6

= -3 · 5 + 1 · 8 - 6

= -15 + 8 - 6

= -13

Answer: -13

Step-by-step explanation:

used a calculator to solve

help pls fast
15. In a parallelogram ABCD, AB = 7.2 cm and the perpendicular from C on AB is 4.5 cm find its area.​

Answers

Answer:

32.4 cm²

Step-by-step explanation:

Given the parallelogram ABCD ; with AB = 7.2 cm

Perpendicular from C on AB is the height of the parallelogram = 4.5 cm

Using the relation fir the area of a parallelogram :

Area of a parallelogram = base * height

Area of a parallelogram = 7.2 cm * 4.5cm

Area of parallelogram = 32.40cm²

Hence, Area of parallelogram is 32.4 cm²

graph the equation x = -2

Answers

Answer:

x=-2 would be a straight line right through -2 on the x-axis

Step-by-step explanation:

Answer:

a straight line going up and down by the x axis -2

I knew y= 2x + 1 was a positive slope because...

Answers

Answer:

because the coefficient is positive

Step-by-step explanation:

hope it helps

negitive 1/5 n +7=2 solve quick first to get mark brainlest

Answers

Step-by-step answer:

-1/5n+7=2

-1/5n+7-7=2-7

-1/5n=-5

-1/5n/-1/5=-5/-1/5

n=25

What is 300% of 8? *
2400
24
240
0.24

Answers

Answer:

24

Step-by-step explanation:

300%=3 as a whole number

3*8=24

Answer:

24

Step-by-step explanation:

Im not sure why or how but its 24 :)

What is the measure (in radians) of central angle in
the circle below?
4 cm
6 cm

Answers

Answer:

where is circle?????????

find the area of the triangle. please help​

Answers

Answer:= 87.50m

Step-by-step explanation: base × height ÷2

                                                25 ×  7     ÷    2

                                                175      ÷ 2  

                                              =   87.50

Which line has a slope of -1/2?

Answers

Answer:

line b

Step-by-step explanation:

line b displays a slope of -1/2

B because it’s a slope and a negitive fraction. This line is a negative so that helps give it away

4/5 plus 3/4plus 7/10=? someone plz help

Answers

Answer:

it is 31/20 but in mixed form it's

[tex]1 \times \frac{11}{20} [/tex]

PLEASE HELP
What is the length of the unknown side?
A. 5.5 cm
B. 6 cm
C. 7.5 cm
D. 8 cm

Answers

Answer:

my best guess would be 5.5cm, if you get that wrong, try 6cm. hope you have a wonderful day! you are beautiful!

please it do in 6 min i need help with this one please The following points are from a dilation. If

B(0 , 5 ) and B'(x, 2 0 ), what is x?

Answers

Answer:

The value of x = 0    

Step-by-step explanation:

Given

B(0, 5)B'(x, 20)

To determine

The value of x = ?

If we closely observe the value of the y-coordinate of the image B'(x, 20), we can see that the y-coordinate of the image B' is 4 times the y-coordinate of the original point (0, 5).

i.e. y → 5×4 =20

It means the coordinates of the image B'(x, 20) can be determined by dilating the original point (0, 5) by a scale factor of 4.

Thus, the x-coordinate of B'(x, 20) can also be obtained by multiplying the x-coordinate of B(0, 5) by 4.

i.e. x → 4×0 = 0

Thus, the rule of dilation is:

P(x, y) = P'(4x, 4y)

Hence,

B(0, 5) → B'(4(0), 4(5)) → B'(0, 20)

Thus,

The value of x = 0           ∵ 0×4 = 0

Solve the inequality:
6(2y - 4) + 2.6 > 14.7

Answers

Gt = 12y - 21.4 I think it’s that

Answer:

y>3.00833...

Step-by-step explanation:

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?​

Answers

Answer:

25/121

thats the correct answer

Isabel's family decided to get rid of their cable TV. Originally they were paying $84.00 for the TV, internet and phone, but now they're paying $57.12. What was the percent the bill decreased by?

Answers

Answer:

32%

Step-byentrepreneurstion:

The first step is to calculate the decrease

= $84 - $57.12

= $26.88

Therefore the decrease can be calculated as follows

= 26.88/84 ×100

= 0.32×100

= 32%

Hence the bill decreased by 32%

I need to show all my work, please.

2r + 49 = -8 (-r - 5)

Answers

Answer:

2r+49=-8(-r-5)

-8*-1r   -8*-5

2r+49=8r+40

40-49

2r=8r-9

2r-8r

-6r=-9

/-6

r=3/2

What is the biggest lesson you have ever learned in your life?

Answers

Answer:

be Yourself.

Step-by-step explanation:

Answer:

I will sat the biggest lesson I have ever learned in my life is that be grateful what you have.

Sofia le pagaron s/150 por trabajar dos días ¿Cuántos días le faltan trabajar para que le paguen 750?

Answers

Answer:

10 días

le pagan 75 por dia.

Step-by-step explanation:

150÷2 =75

75×10=750

An air conditioning system can circulate 410

cubic feet of air per minute. How many cubic yards of air can it circulate per​ minute?

Answers

410/27 cubic yards/meters = 15.19

Therefore, the air conditioning system can circulate 15.19 cubic yards per minute.

Write an equation for the translation of [tex]y\frac{3}{x}[/tex] that has the asymptotes x = 6 and y = -6.
Show all your steps, then graph it. (Be sure to link the graph with your steps.)

a.) [tex]y=\frac{3}{x+6}-6[/tex]
b.) [tex]y=\frac{3}{x-6}+6[/tex]
c.) [tex]y=\frac{3}{x-6}-6[/tex]
d.) [tex]y=\frac{3}{x+6}+6[/tex]

Answers

Answer:[tex]\boxed{\boxed{y=\frac{3}{x-6}-6}}[/tex]Solution Steps:

______________________________

1.) Substitute x, y, and general form using the formulas:Formula for x:  [tex]x=d=6[/tex]Formula for y:  [tex]y=k=-6[/tex]Formula for general form y: [tex]y=\frac{a}{x-d}+k=y=\frac{3}{x-6}+(-6)[/tex]

Note:

 - When doing problems like this, it's best to list out each formula and do the drag down method, and replace methods rather than doing it the entire mathematical way, as doing it that way takes a long time and it's more confusing than it should be.

Equation at the end of Step 1:

[tex]y=\frac{3}{x-6}+(-6)[/tex]

2.) Simplify the d and k forms:[tex]y=\frac{3}{x-6}+(-6)=y=\frac{3}{x-6}-6[/tex]

Note:

 - The x(d) stays the same since the 6 was positive and we plugged it in making it negative, so it doesn't need to be changed. (Another way to know if you need to change it is if the original [tex](d)[/tex] or [tex](k)[/tex] when plugged in, you had to put them in parenthesis then most likely it needs to be changed.

 - The y(k) changes from [tex]+(-6)[/tex] to [tex]-6[/tex] because when a [tex](+)[/tex] and [tex](-)[/tex] are next to each other, the rule is [tex]+<-[/tex]. The Minus always wins in this type of problem situation.

So the answer is c, [tex]\bold{y=\frac{3}{x-6}-6}[/tex].

______________________________

Please help!

Thank you!

Answers

Answer:

y=-1/3x+10

Step-by-step explanation:

y=3x+1

The line perpendicular would have a negative reciprocal of the slope of 3 which means that you would add a negative sign and then flip 3/1 into 1/3 resulting in -1/3 as the slope.

To find the line that passes through the point (6,8) you would plug the values into the equation y=mx+b

m=-1/3x as found above

6 is the x-value and 8 is the y-value

8=(-1/3)(6)+b

8=-2+b

Add 2 on both sides and you get b to equal 10  

A soccer ball is kicked up field as gloria runs to advance it further. The graph presents the distance that Gloria and the soccer ball are from the kicker over time.
How many seconds will it take for Gloria to connect with the ball?
A. 2 sec.
B. 3 sec.
C. 20 secs.
D. 30 secs

Answers

The answer is d okay

The function f is defined by the following rule.
f(x) = 4x +4
Complete the function table.
X
f(x)
5
- 2
2
3
4

Answers

Answer:

here it is the answer

Step-by-step explanation:

I guess that you were asking that or I'm wrong?

Which number has a 5 that represents a value one thousand times greater than the value represented by the 5 in 41,253?

A
31,254

B
41,523

C
45,127

D
51,324

Answers

Answer:

B) 45,523

Hope this is correct

During a hockey game, the puck slid 27meters across the ice rink as it was chased by a hockey player skating at 9.5 meters per second. The puck slid that distance in 1.5seconds at a steady speed. What was the puck's speed

Answers

Answer:

Speed of Puck is 18 m/s

Step-by-step explanation:

Mathematically;

speed = distance/ time

The puck traveled a distance of 27 m in 1.5 seconds

The speed of the puck is thus;

27/1.5 = 18 m/s

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