A coordinate plane with four quadrants shows the x-axis ranging from negative 10 to 10 in increments of 1 and the y-axis ranging from negative 5 to 15 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is y equals 4 x minus 10. The equation of the dotted line is y equals negative 2 x plus 8. The intersection point of both lines is shown at positive 3 on the x-axis and positive 2 on the y-axis in quadrant 1.
Review the graphs of a system of these two linear equations in two variables: y=4x−10
and y=−2x+8
Find the solution of the system.
(1 point)
The solution of the system of equations is (
).
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1 answer
The solution of the system of equations \( y = 4x - 10 \) and \( y = -2x + 8 \) is the point where the two lines intersect. From your description, the intersection point is at \( (3, 2) \).
Therefore, the solution of the system of equations is:
(3, 2)
