Question

A system of equations is given below.



What is the value of y for the solution to the system? Type your response in the box below.

x+3y=15
3x+2y=10

Answer 1

To find the value of y for the solution to the system of equations, we can use either substitution or elimination method.

Let's use the elimination method to solve the system:

Multiplying the first equation by 2, we get:

2x + 6y = 30

Now we can subtract the second equation from the first equation:

(2x + 6y) - (3x + 2y) = 30 - 10
- x + 4y = 20

Now we can solve this equation for y:

- x + 4y = 20
4y = x + 20
y = (x + 20)/4

Since there is no specific value given for x, we can express y in terms of x as:

y = (x + 20)/4

Therefore, the value of y for the solution to the system is (x + 20)/4.