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.

Answer 1

To review the graphs of the system of equations y = 4x - 10 and y = -2x + 8, we can plot these equations on a graph.

The graph of y = 4x - 10 is a line with a slope of 4 and y-intercept of -10. The graph of y = -2x + 8 is a line with a slope of -2 and y-intercept of 8.

To find the solution of the system, we can solve the equations simultaneously. Setting y = y, we can set the two equations equal to each other:

4x - 10 = -2x + 8

Adding 2x to both sides and adding 10 to both sides, we get:

6x = 18
x = 3

Substitute x = 3 back into either equation to solve for y:

y = 4(3) - 10
y = 12 - 10
y = 2

Therefore, the solution of the system of equations y = 4x - 10 and y = -2x + 8 is x = 3 and y = 2.

Answer 2

y = 2x + 3
y = 1/2x + 6

Estimate the solution to the system of these linear equations based on the graph.
y = 2x + 3
y = 1/2x + 6

a. (7, 2)
b. (2, -7)
c. (-2, 7)
d. (2, 7)