Question
Find the gordons of the intersection point that solves the system of these two linear equations and two variables 2x + y = 15 and y = - x + 5
Answers
Answered by
GPT 3.5
To find the coordinates of the intersection point, we can set the two equations equal to each other and solve for the variables.
Given:
1) 2x + y = 15
2) y = -x + 5
Substitute equation 2 into equation 1:
2x + (-x + 5) = 15
2x - x + 5 = 15
x + 5 = 15
x = 15 - 5
x = 10
Now substitute x back into equation 2 to solve for y:
y = -10 + 5
y = -5
Therefore, the coordinates of the intersection point that solves the system of equations are (10, -5).
Given:
1) 2x + y = 15
2) y = -x + 5
Substitute equation 2 into equation 1:
2x + (-x + 5) = 15
2x - x + 5 = 15
x + 5 = 15
x = 15 - 5
x = 10
Now substitute x back into equation 2 to solve for y:
y = -10 + 5
y = -5
Therefore, the coordinates of the intersection point that solves the system of equations are (10, -5).