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 .

Answer 1

To find the intersection point, we need to solve the system of equations:

1) 2x + y = 15
2) y = -x + 5

We can start by substituting equation 2) into equation 1):

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

Now we can substitute x = 10 back into equation 2) to find the value of y:

y = -10 + 5
y = -5

So, the coordinates of the intersection point are (10, -5).