What is the value of y in the solution to the system of equations?
x + y = 1, 2x - 3y = -30

Solution:

Given: Equations are x + y = 1 --- (1)

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

Solving the equations by elimination method

Multiply the first equation by 2 so that x will get eliminated and we will get the value of y

So we get = 2x + 2y = 2 --- (3)

Now eq(3) - eq(2)

⇒ 2x + 2y - (2x - 3y) = 2 - (-30)

⇒ 2x + 2y - 2x + 3y = 2 + 30

⇒ 5y = 32

⇒ y = 32/5

What is the value of y in the solution to the system of equations?
x + y = 1, 2x - 3y = -30

Summary:

The value of y in the following equations x + y = 1, 2x - 3y = -30 is 32/5.