Question

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. Click Here for Help Video.



(10 points)
x =


y =

Answer 1

Since lines x and y are parallel, they will have the same slope.
Comparing the equations of B and G, we can see that their slopes are equal.
So, we can set 5x + 12 = 1x + 24 to find the value of x.
Subtracting 1x from both sides, we get 4x + 12 = 24.
Subtracting 12 from both sides, we get 4x = 12.
Dividing both sides by 4, we get x = 3.
Therefore, x = 3.

Since lines x and y are parallel, they will also have the same y-intercept.
Comparing the y-intercepts of B and A, we can see that they are equal.
So, we can set 4y + 18 = 12 to find the value of y.
Subtracting 18 from both sides, we get 4y = -6.
Dividing both sides by 4, we get y = -1.5.
Therefore, y = -1.5.

Therefore, the values of x and y are x = 3 and y = -1.5 respectively.