Question

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


x + y = 1


2x – 3y = –30


–8

–3

3

8

Answer 1

Answer:

$\frac{32}{5}$.

Step-by-step explanation:

We have been given a system of equations and we are asked to find the value of y in the solution to the given system.

$x+y=1...(1)$

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

To solve our given system of equation, we will use substitution method. From equation (1) we will get,

$x=1-y$

Upon substituting this value in equation (2), we will get:

$2(1-y)-3y=-30$

Using distributive property, we will get:

$2-2y-3y=-30$

$2-5y=-30$

$2-2-5y=-30-2$

$-5y=-32$

Now, we will divide both sides of our equation by -5.

$\frac{-5y}{-5}=\frac{-32}{-5}$

$y=\frac{32}{5}$

Therefore, the value of y is $\frac{32}{5}$.