Answer:
x = 23/5
y = -2/5
Step-by-step explanation:
We are given two equations
2x + 3y = 8 eq. 1
x - y = 5 eq. 2
From eq. 2
x - y = 5
x = 5 + y eq. 3
Substitute eq. 3 into eq. 1
2x + 3y = 8 eq. 1
2(5 + y) + 3y = 8
Simplify the equation
10 + 2y + 3y = 8
10 + 5y = 8
5y = 8 - 10
5y = -2
y = -2/5
or
y = -0.4
Substitute the value of y into eq. 3 to get the value of x
x = 5 + y eq. 3
x = 5 - 2/5
x = 23/5
or
x = 4.6
Therefore, the solution set is
(x, y) = (23/5, -2/5)
This is the point of intersection where these two equations meet.
