Lines x

and y
are parallel. If B=5x+12, G=1x+24
and A=4y+18
then find the values of x
and y
. The figure is not drawn to scale

1 answer

Since lines x and y are parallel, they will have the same slope.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

For line B:
B = 5x + 12
This is in slope-intercept form, and the slope is 5.

For line G:
G = 1x + 24
This is also in slope-intercept form, and the slope is 1.

Since lines x and y are parallel, their slopes are equal. So we have:
5 = 1

This is not possible since 5 is not equal to 1.

Therefore, the given information is not consistent with lines x and y being parallel.