Question

Solve the system of equations and choose the correct ordered pair.

3x + 2y = 12
6x + 3y = 21

A. (4, 3)
B. (4, 0)
C. (2, 3)
D. (3, 2)

Answer 1

I hope this helps you

Answer 2

C.

Explanation:

We are going to solve it with substitution, that is, we are going to clear one variable and then replace it in the other equation. Then,

`3x + 2y = 12`

`3x = 12-2y`

`x = (12-2y)/(3)`

`x = (12)/(3)-(2y)/(3)`

`x = 4-(2y)/(3).`

Now, we replace that x value in the equation 6x + 3y = 21:

`6(4-(2y)/(3)) + 3y = 21`

`24-(12y)/(3) + 3y = 21`

`24-4y + 3y = 21`

`24-y = 21`

`-y = 21-24`

`-y = -3`

`y = 3.`

Finally, we replace the y value found to find x.

`x = 4-(2*3)/(3)`

`x = 4-2`

`x = 2.`

So, the solution is (x,y)=(2,3). Then, the answer is C.