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Izzie8Hea6toLove
Izzie8Hea6toLove Izzie8Hea6toLove
  • 06-08-2016
  • Mathematics
Answered

How many solutions does this system of equations have?


3x – 4y = 12

y = 4x – 3

A0
B1
C2
Dinfinite

Verified Answer :

Luv2Teach
Luv2Teach Luv2Teach
  • 17-08-2019

Answer:

B. 1

Step-by-step explanation:

Since one of the equations is already solved for y, let's use substitution to find out the answer.  We will sub in 4x - 3 for y into the first equation:

3x - 4(4x - 3) = 12 and

3x - 16x + 12 = 12 and

-13x = 0 so

x = 0.

Now we will plug in 0 for x into the other equation to solve for y:

y = 4(0) - 3 and

y = 0 -3 so

y = -3

The solution set as a coordinate pair for this system is (0, -3), the only solutiion.

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