Question
Use the image to answer the question
Y=x-6
Y=-x+4
Review the graph of a system of two linear equations in two variables Y equals X -6 and Y equals negative X +4 find the solution to both equations
Y=x-6
Y=-x+4
Review the graph of a system of two linear equations in two variables Y equals X -6 and Y equals negative X +4 find the solution to both equations
Answers
GPT 3.5
To find the solution to both equations, we need to find the point where the two lines intersect on the graph.
From the equations Y = X - 6 and Y = -X + 4, we can set the two equations equal to each other:
X - 6 = -X + 4
2X = 10
X = 5
Now that we have found the value of X, we can substitute it back into one of the original equations to find the value of Y:
Y = X - 6
Y = 5 - 6
Y = -1
Therefore, the solution to both equations is (5, -1), which is the point where the two lines intersect on the graph.
From the equations Y = X - 6 and Y = -X + 4, we can set the two equations equal to each other:
X - 6 = -X + 4
2X = 10
X = 5
Now that we have found the value of X, we can substitute it back into one of the original equations to find the value of Y:
Y = X - 6
Y = 5 - 6
Y = -1
Therefore, the solution to both equations is (5, -1), which is the point where the two lines intersect on the graph.