Question

Determine what the solution is to the following system? Y=3/4x-1 & y=4/3x-1

Answer 1

(0, -1)

Explanation:

There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"

First, since both equations are equal to Y, we can set them equal to each other and solve for X

`(3 )/(4) x - 1 = (4)/(3) x - 1`

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

`3x - 4 = 5 (1)/(3)x - 4`

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

`9x - 12 = 6 x - 12`

Now, solve how you normally would.

9x = 6x

-6x

3x = 0

X = 0

Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

`y = (3)/(4) (0) - 1`

Now solve which would lead to y = -1

You have your solution as

(X,Y)

(0,-1)

Hope this helps!