Question

estimate the solution to the system of these linear equations based on the graph
y = 5x + 10
y = -2x + 3

An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 10 to 10 in increments of 1. A solid line and a dotted line with arrows at both the ends intersect each other. The equation of the solid line is y equals 5 x plus 10. The equation of the dotted line is y equals negative 2 x plus 3. The lines intersect at left parenthesis negative 1 comma 5 right parenthesis which is not plotted as a point.

(1, 5)
(5, -1)
(-1, _5)
(-1, 5)

Answer 1

To find the solution to the system of equations given by \( y = 5x + 10 \) and \( y = -2x + 3 \), we can look at their intersection point, which represents the solution to the equations.

From the description you provided, the two lines intersect at the point \( (-1, 5) \). Thus, the solution to the system of equations is:

\[
(-1, 5)
\]

So the correct answer from the options listed is:

**(-1, 5)**.