Question

At what point will 3y=4x-6 and 8x-6y=-30 intercept

Answer 1

Answer:

The lines don't intercept

Step-by-step explanation:

we have

$3y=4x-6$

isolate the variable y

Divide by 3 both sides

$y=\frac{4}{3}x-\frac{6}{3}$

simplify

$y=\frac{4}{3}x-2$ -----> equation A

$8x-6y=-30$

Isolate the variable y

$6y=8x+30$

Divide by 6 both sides

$y=\frac{8}{6}x-\frac{30}{6}$

simplify

$y=\frac{4}{3}x-5$ -----> equation B

Compare equation A and equation B

The slopes are the same and the y-intercepts are different

Remember that

If two lines has the same slope, then the lines are parallel

therefore

In this problem line A and line B are parallel lines

The system of equations has no solution, because the lines don't intercept