To find the value of x, we can solve the system of equations using the substitution or elimination method.
Given:
x - 3y = 7 ---(1)
x - 2y = 2 ---(2)
Subtract equation (2) from equation (1) to eliminate x:
(x - 3y) - (x - 2y) = 7 - 2
x - 3y - x + 2y = 5
-y = 5
y = -5
Now, substitute the value of y back into equation (2) to solve for x:
x - 2(-5) = 2
x + 10 = 2
x = 2 - 10
x = -8
Therefore, the value of x in the solution to this system of equations is -8.
A system of linear equations is shown.
x−3y=7 x−2y=2
What is the value of x in the solution to this system of equations? 5
-5 8 -8
1 answer