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 equatio
1 answer
The solution to the system of equations is the point where the two lines intersect. From the description provided, the intersection point is given as (3, 2).
Therefore, the solution to the system of equations \( y = 4x - 10 \) and \( y = -2x + 8 \) is:
\[ (3, 2) \]
