Review the graph of a system of cheese.Two linear equations into variablesY=4x-10 and y=-2+8

The solution of the system of equations is?

1 answer

To find the solution of the system of equations, we need to find the point where the two equations intersect, which represents the values of x and y that satisfy both equations simultaneously.

Given equations:

1) y = 4x - 10
2) y = -2x + 8

Setting the two equations equal to each other:
4x - 10 = -2x + 8

Solving for x:
6x = 18
x = 3

Substitute x = 3 back into either equation to find y:
y = 4(3) - 10
y = 12 - 10
y = 2

Therefore, the solution to the system of equations is x = 3 and y = 2. The point of intersection of the two lines on the graph would be at (3, 2).