Question

Graph the lines 2x=-y+7 and 2y=-4x+10. What is the solution?

Answer 1

Answer: Option C

C) No solution

Step-by-step explanation:

To graph both lines identify the cut points with the axes

For $2x = -y + 7$

The intersection with the x axis is:

$2x = -(0) +7\\\\x = 3.5$

The intersection with the y axis is:

$2 (0) = -y +7\\\\y = 7$

Draw a line that cuts the y-axis in 7 and the x-axis in 3.5

For $2y = -4x + 10$

The intersection with the x axis is:

$2 (0) = -4x +10\\\\4x = 10\\\\x = 2.5$

The intersection with the y axis is:

$2y = -4 (0) +10\\\\y = 5$

Draw a line that cuts the y-axis in 5 and the x-axis in 2.5

The intersection of both lines will be the solution of the system. Observe the attached image

The lines are parallel, so they never intercept. Therefore the system has no solution

Answer 2

C) no solution

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