To estimate the solution to the system of linear equations, we need to find the point where the two lines intersect on the graph.
By comparing the equations, we can see that the slope of the first equation is 5, and the slope of the second equation is -2. The lines intersect when the y-values are equal, so we can set the two equations equal to each other:
5x + 10 = -2x + 3
By simplifying and solving for x, we get:
7x = -7
x = -1
Now, we can substitute this value of x back into either of the original equations to find the corresponding y-value. Let's use the first equation:
y = 5(-1) + 10
y = -5 + 10
y = 5
Therefore, the solution to the system of linear equations is (-1, 5).
The answer is C. (-1, 5)
Estimate the solution to the system of these linear equations based on the graph. y=5x+10 y=−2x+3
A. (1, 5)
B. (5, -1)
C. (-1, 5)
D. (-1, -5)
1 answer
1 answer