Question

Use the image to answer the question. 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. Estimate the solution to the system of these linear equations based on the graph. y=5x+10 y=−2x+3 (1 point) Responses (−1,−5) left parenthesis negative 1 comma negative 5 right parenthesis (5,−1) left parenthesis 5 comma negative 1 right parenthesis (1, 5) left parenthesis 1 comma 5 right parenthesis (−1, 5) left parenthesis negative 1 comma 5 right parenthesis Skip to navigation

Answer 1

What is the last step to solving a system of equations?(1 point) Responses Make a table of solutions of the linear equations. Make a table of solutions of the linear equations. Graph the lines. Graph the lines. Estimate the intersection point. Estimate the intersection point. Check the answer.

Answer 2

The lines represented by the equations \( y = 5x + 10 \) (solid line) and \( y = -2x + 3 \) (dotted line) intersect at the point \( (-1, 5) \). Therefore, the solution to the system of these linear equations is:

**(−1, 5)**

So, the correct response is \( (-1, 5) \).