Question

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

Answer 1

Answer:

Option D is the correct answer.

Step-by-step explanation:

The equations are:

5x - 3y = -11     Eqn 1

2x - 6y = -14     Eqn 2

We have to find the value of y so we will eliminate x.

Multiplying Eqn 1 by 2

2(5x-3y=-11)

10x-6y=-22     Eqn 3

Multiplying Eqn 2 by 5

5(2x-6y=-14)

10x-30y=-70     Eqn 4

Subtracting Eqn 4 from Eqn 3

(10x-6y)-(10x-30y)= -22-(-70)

10x-6y-10x+30y = -22 + 70

24y = 48

$\frac{24y}{24}=\frac{48}{24}\\y=2$

Therefore,

Option D is the correct answer.