To find the intersection point, we need to solve the system of equations:
Equation 1: 2x + y = 15
Equation 2: y = -x + 5
We can substitute Equation 2 into Equation 1 to eliminate y:
2x + (-x + 5) = 15
Combine like terms:
x + 5 = 15
Subtract 5 from both sides:
x = 10
Now, substitute x = 10 into Equation 2 to solve for y:
y = -(10) + 5
y = -5
Therefore, the intersection point is (10, -5).
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) Responses (−10, 5) left parenthesis negative 10 comma 5 right parenthesis (−5, 10) left parenthesis negative 5 comma 10 right parenthesis (10,−5) left parenthesis 10 comma negative 5 right parenthesis (5,−10)
1 answer
1 answer