How many solutions does this system of equations have?

3x – 4y = 12
y = 4x – 3

a. 0
b. 1
c. 2
d. infinite

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.

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation:

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

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