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. (5,-10)
2. (-5,10)
3. (10,-5)
4.(-10,5)

Answer 1

wrong

Answer 2

The correct answer is (5, 5).

Answer 3

My apologies for the mistake. Let's solve the system of equations to find the correct answer.

We are given the following system of equations:
1) 2x + y = 15
2) y = -x + 5

Substitute the second equation into the first equation:
2x + (-x + 5) = 15
2x - x + 5 = 15
x + 5 = 15
x = 10

Now, substitute the value of x back into the second equation to find y:
y = -10 + 5
y = -5

Therefore, the intersection point that solves the system of equations is (10, -5).
So, the correct answer is 3. (10, -5).