Systems of linear equations unit test
Use the image to answer the question
y=-2×+8. y. y=4×-10
Review the graphs of a system of these two linear equations in two variables
y=4×-10 and y=-2×+8. Find the solution of the system
To find the solution of the system of equations, we need to find the point where the two lines intersect on the graph.
Looking at the equations y=4x-10 and y=-2x+8, we can set them equal to each other:
4x-10 = -2x+8
6x-10 = 8
6x = 18
x = 3
Now that we have the x-coordinate of the point of intersection, we can plug this back into either of the equations to find the y-coordinate:
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 the point of intersection at (3,2).