Question

Estimate the solution to the system of these linear equations based on the graph
y=-2x+3
y=5x-4
A. (-1,-1)
B. (1,-1)
C. (-1,1)
D. (1,1)

Answer 1

To estimate the solution to the system of linear equations based on the graph, we need to find the point of intersection of the two lines.

The given equations are:
y = -2x + 3 ...(1)
y = 5x - 4 ...(2)

To find the point of intersection, we need to equate the y-values in both equations.

-2x + 3 = 5x - 4

Bringing all the x-terms to one side and all the constant terms to the other side, we get:

-2x - 5x = -4 - 3
-7x = -7

Dividing both sides by -7, we get:
x = 1

Substituting the value of x = 1 into equation (1), we can find the value of y:

y = -2(1) + 3
y = -2 + 3
y = 1

Therefore, the estimated solution to the system of linear equations based on the graph is (1, 1).

So, the correct option is: D. (1, 1)