find the coordinates of the intersection point that solves the system of these two linear equations in two varibles: 2x+y=15 and y=-x+5
To find the intersection point, we need to solve the system of equations:
1. 2x + y = 15
2. y = -x + 5
We can substitute equation 2 into equation 1:
2x + (-x + 5) = 15
2x - x + 5 = 15
x + 5 = 15
x = 10
Now, substitute x = 10 back into equation 2 to find y:
y = -10 + 5
y = -5
Therefore, the intersection point is (10, -5).