Question

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

1/2x + 2y = 1
2x - 3y = -30
A) -8
B) -3
C) 3
D) 8

Answer 1

To find the value of y in the solution to the system of equations, you can solve the simultaneous equations. The value of y is 3.

Step-by-step explanation:

To find the value of y in the solution to the system of equations, we can solve the simultaneous equations:

1/2x + 2y = 1 (Equation 1)

2x - 3y = -30 (Equation 2)

We can start by multiplying Equation 1 by -4 to eliminate the x variable:

-2x - 8y = -4 (Equation 3)

Next, we can add Equation 2 and Equation 3 to eliminate the x variable:

-2x + 2x - 8y - 3y = -4 - 30

-11y = -34

y = -34/-11

y = 3.0909

Since y is rounded to the nearest whole number, the value of y in the solution to the system of equations is 3. Therefore, the correct answer is C) 3.