To find the solution of the system of equations y= 4x -10 and y=-2x+8, we can set them equal to each other:
4x - 10 = -2x + 8
Simplify:
6x - 10 = 8
Add 10 to both sides:
6x = 18
Divide by 6:
x = 3
Now that we have found the value of x, we can plug it back into one of the equations to solve for y. Let's use the first equation y = 4x - 10:
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. This means that the two lines intersect at the point (3, 2) on the graph.
Review the graph of a system of these two linear equations two variables y= 4X -10 and y=-2x+8 find the solution of the system
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