Question

A system of equations is given below.
x + 3y = 15
3х + 2y = 10
What is the value of y for the solution to the system?

Answer 1

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

Using the substitution method, we can solve the first equation for x in terms of y:
x = 15 - 3y

Substituting this expression for x in the second equation, we have:
3x + 2y = 10
3(15 - 3y) + 2y = 10
45 - 9y + 2y = 10
-7y = -35
y = -35 / -7
y = 5

Therefore, the value of y for the solution to the system is 5.