Question

Find the coordinates of the intersection point that solves the system of these two linear equations in two variables: 2x+y=15 and y=−x+5 .

(1 point)

Answer 1

First, we can substitute the expression for y from the second equation into the first equation to solve for x:

2x + (-x + 5) = 15
2x - x + 5 = 15
x + 5 = 15
x = 10

Now that we have x = 10, we can substitute this back into the second equation to find y:

y = -10 + 5
y = -5

Therefore, the intersection point is (10, -5).