To find the solution of the system of linear equations y=4x-10 and y=-2x+8, we can first plot the graphs of both equations on the same coordinate plane and then find the point where they intersect.
The equation y=4x-10 represents a line with a y-intercept of -10 and a slope of 4. This means that the line will rise by 4 units for every 1 unit it moves to the right.
The equation y=-2x+8 represents a line with a y-intercept of 8 and a slope of -2. This means that the line will fall by 2 units for every 1 unit it moves to the right.
When we plot both lines on the same coordinate plane, we will see that they intersect at the point (2, -2). This point is the solution to the system of equations y=4x-10 and y=-2x+8.
Therefore, the solution to the system of equations is x=2 and y=-2.
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
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