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) O (-10, 5) O (-5, 10) O (5,-10) O (10,-5)

Answer 1

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

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

From equation (2), we can substitute y with -x + 5 in equation (1):

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

Now, substitute x = 10 into equation (2) to find y:

y = -10 + 5
y = -5

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

So, the correct answer is O (10, -5).