Is (−2, 6) a solution to the system of these linear equations: x+2y=10 and 3x+y=0? Why?
A. No, because the graphs don’t intersect at (−2, 6).
B. No, because the graphs intersect at (−2, 6).
C. Yes, because the graphs intersect at (−2, 6).
D. Yes, because the graphs don’t intersect at (−2, 6).
C. Yes, because the point (-2, 6) satisfies both equations. When x is replaced with -2 and y is replaced with 6 in both equations, the equations hold true.
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
A. (−1, 5)
B. (5,−1)
C. (−1,−5)
D. (1, 5)
A. (-1, 5)
What is the last step to solving a system of equations?
A. Make a table of solutions of the linear equations.
B. Graph the lines.
C. Check the answer.
D. Estimate the intersection point.
C. Check the answer.
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows a solid line and a dotted line with arrows at both the ends intersecting with each other. The x axis extends from negative 10 to 10 in increments of 1. The y axis extends from negative 5 to 15 in increments of 1. The equation of the solid line is y equals negative 2 x plus 10. The equation of the dotted line is y equals negative 5 x plus 7. The lines intersect at left parenthesis negative 1 comma 12 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 + 7
y = −2x + 10
A. (−1, 12)
B. (−1,−12)
C. (12,−1)
D. (1,−12)