Question

PLEASE HELP ASAP!!! 98 POINTS FOR ONE MULTIPLE CHOICE QUESTION!!! I DO NOT HAVE PICTURES BUT ANYONE IN FLVS PLEASE ANSWER!!!

Which graph best represents the solution to the following pair of equations?

y = −2x + 13
y = 2x − 3
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair negative 4, negative 5.

A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair 4, 5.

A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair negative 4, 5.

A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2x plus 13 and y is equal to 2x minus 3 are plotted. These 2 lines intersect at the ordered pair 4, negative 5.

Answer 1

The Answer is:

B - (4, 5)

Answer 2

y = −2x + 13

y = 2x − 3

Set the equations to equal and solve for x:

-2x + 13 = 2x -3

Add 2X to each side:

13 = 4x -3

Add 3 to each side:

16 = 4x

Divide both sides by 4:

x = 16/4

x = 4

Now replace x with 4 in one of the equations and solve for y:

y = -2(4) +13

y = -8 +13

y = 5

x = 4 and y = 5 , which is the ordered pair (4,5)

Both numbers are positive values, so the second graph is correct.