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).
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
1 answer
1 answer