Question

What is the value of y in the solution to this system of equations?

Answer 1

Answer:

x= 20,y= −36

Step-by-step explanation:

3x+2y=−12

2x+y=4

Subtract 2x

from both sides of the equation.

y=4−2x

3x+2y=−12

Replace all occurrences of y

with 4−2x

in each equation.

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−x+8=−12

y=4−2x

Solve for x

in −x+8=−12

.

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x=20

y=4−2x

Replace all occurrences of x

with 20

in each equation.

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y=−36

x=20

The solution to the system is the complete set of ordered pairs that are valid solutions.

(20,−36)

The result can be shown in multiple forms.

Point Form:

(20,−36)

Equation Form:

x=20,y=−36

Answer 2

• 3x-2y=-12--(1)
• 2x+y=4--(2)

Multiply 2 with (1) and 3 with (2)

• 6x+4y=-24--(1)

• 6x+3y=12--(4)

Subtract

• y=-24-12
• y=-36