Notice that the line with negative slope has a y-intercept of 5 and the line with positive slope has a y-intercept of 2.
On the other hand, the slope of the line with negative slope is -2, while the slope of the line with positive slope is 3 (This can be identified since in one case, the value of y decreases by 2 for each increase of 1 unit in x, and in the other, the value of y increases by 3 for each increase of 1 unit in x).
Using the y-intercept form to represent each line, the system of equations represented by the graph must be equivalent to:

From the given options, the one that displays the correct system of equations is option A.
Therefore, the answer is:
Answer:
x=13/2
Step-by-step explanation:
3/4x=4 7/8
x= 4 7/8 divided by 3/4
x=13/2
check
3/4*13/2=39/8
=4 7/8
X-4y=-12
4x-y=12
eliminate y's
multily 2nd equaiton by -4 and add to top one
x-4y=-12
<u>-16x+4y=-48 +
</u>-15x+0y=-60
-15x=-60
divide both sides by -15
x=4
sub back
x-4y=-12
4-4y=-12
minus 4 both sides
-4y=-16
divide both sides by -4
y=4
x=4
y=4
(x,y)
(4,4)<u>
</u>
true, both have a domain limited to x values great then 0