Question

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

4x + 5y = −12

-2x + 3y = −16

A.)−4
B.)−2
c.)2
D.)5

Answer 1

Answer with Step-by-step explanation:

We are given a system of linear equations:

4x + 5y = −12

-2x + 3y = −16

Multiply second equation by 2 and add it to first equation.

4x+5y-4x+6y= -12-32

⇒ 11y= -44

Dividing both sides by 11

⇒ y= -4

Hence, the y-value in the solution to the system of linear equations

4x + 5y = −12

-2x + 3y = −16 is:

A.)−4

Answer 2

Option A.)−4

Explanation:

we have

4x+5y=-12 -----> equation A

-2x+3y=-16 -----> equation B

Solve the system of equations by elimination

Multiply the equation B by 2

2*(-2x+3y)=-16*2

-4x+6y=-32 -----> equation C

Adds equation A and equation C

4x+5y=-12

-4x+6y=-32

-----------------

5y+6y=-12-32

11y=-44

y=-4