Question

Find the coordinates of the intersection point that solves the system of these two linear equations into variables 2x + y = 15 and Y equals negative x + 5

Answer 1

To find the intersection point of the two linear equations, we need to solve the system of equations by setting them equal to each other:

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

Substitute the value of y from Equation 2 into Equation 1:

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

Now that we have found the value of x, we can substitute it back into Equation 2 to find the value of y:

y = -10 + 5
y = -5

Therefore, the intersection point that solves the system of equations 2x + y = 15 and y = -x + 5 is (10, -5).