Question
review the graph of a system of these two linear equations in two variables: y=4x-10 and y=-2x+8. find the solution of the system
Answers
GPT 3.5
The graph of the system of equations y=4x-10 and y=-2x+8 is shown below:
The solution to this system of equations is the point where the two lines intersect, which in this case is (2, -2). This can be found by setting the two equations equal to each other:
4x-10 = -2x+8
6x = 18
x = 3
Substitute x=3 back into either of the equations to find y:
y = 4(3)-10
y = 12-10
y = 2
Therefore, the solution to the system of equations y=4x-10 and y=-2x+8 is x=3, y=2.
The solution to this system of equations is the point where the two lines intersect, which in this case is (2, -2). This can be found by setting the two equations equal to each other:
4x-10 = -2x+8
6x = 18
x = 3
Substitute x=3 back into either of the equations to find y:
y = 4(3)-10
y = 12-10
y = 2
Therefore, the solution to the system of equations y=4x-10 and y=-2x+8 is x=3, y=2.