2x+y=15 and y = -x+5

Question

the correct coordinates of intersection are 10,-5, can you explain how we got that answer

Answer 1

To find the coordinates of the intersection of two lines, you need to solve the system of equations formed by the two lines.

The two equations given are:
1) 2x + y = 15
2) y = -x + 5

We can substitute the value of y from equation 2 into equation 1 to eliminate y and solve for x:

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

Now that we have found x = 10, we can substitute this back into equation 2 to find y:

y = -10 + 5
y = -5

Therefore, the correct coordinates of the intersection are (10, -5).