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Aleks04 [339]
3 years ago
7

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

Mathematics
1 answer:
vichka [17]3 years ago
4 0

Answer:

(0, -1)

Step-by-step 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

\frac{3 }{4} x - 1 =  \frac{4}{3} x - 1

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

3x - 4 = 5 \frac{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 =  \frac{3}{4} (0) - 1

Now solve which would lead to y = -1

You have your solution as

(X,Y)

(0,-1)

Hope this helps!

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