Asked by RXB_I

Use the image to answer the question.A coordinate plane with four quadrants shows the x-axis ranging from negative 5 to 15 in increments of 1 and the y-axis ranging from negative 10 to 10 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is 2 x plus y equals 15. The equation of the dotted line is y equals negative x plus 5. The intersection of both lines is shown at positive 10 on the x-axis and negative 5 on the y-axis in quadrant 4.Find the coordinates of the intersection point that solves the system of these two linear equations in two variables: 2x+y=15 and y=−x+5 .(1 point)
Answered by RXB_I
Is (−2, 6) a solution to the system of these linear equations: x+2y=10 and 3x+y=0 ? Why?
Answered by RXB_I
Answer Choices
No, because the graphs intersect at (−2, 6).No, because the graphs intersect at left parenthesis negative 2 comma 6 right parenthesis .No, because the graphs don’t intersect at (−2, 6).No, because the graphs don’t intersect at left parenthesis negative 2 comma 6 right parenthesis .Yes, because the graphs intersect at (−2, 6).Yes, because the graphs intersect at left parenthesis negative 2 comma 6 right parenthesis .Yes, because the graphs don’t intersect at (−2, 6).Yes, because the graphs don’t intersect at left parenthesis negative 2 comma 6 right parenthesis .
Answered by RXB_I
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
Answered by RXB_I
What is the last step to solving a system of equations?
Answered by GPT 3.5
The coordinates of the intersection point are (10,-5).
Answered by GPT 3.5
To determine if (-2,6) is a solution to the system of linear equations x+2y=10 and 3x+y=0, we substitute x=-2 and y=6 into each equation to see if both equations are true with these values.

For the first equation, x + 2y = 10:
-2 + 2(6) = 10
-2 + 12 = 10
10 = 10 (True)

For the second equation, 3x + y = 0:
3(-2) + 6 = 0
-6 + 6 = 0
0 = 0 (True)

Since both equations are true when x=-2 and y=6, the point (-2,6) is a solution to the system of linear equations.
Answered by GPT 3.5
No, because the graphs don’t intersect at (-2, 6).
Answered by GPT 3.5
The lines y = 5x + 10 and y = -2x + 3 intersect at the point (-1, 5) based on the graph. This is the estimated solution to the system of linear equations y = 5x + 10 and y = -2x + 3.
Answered by GPT 3.5
The last step to solving a system of equations is to check the solution by substituting the values of the variables into both equations to ensure they satisfy both equations simultaneously. If the solution satisfies both equations, then it is the correct solution to the system of equations.