Question

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

Answer 1

I hope this helps you

Answer 2

Answer:

C.

Step-by-step 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,

$3x + 2y = 12$

$3x = 12-2y$

$x = \frac{12-2y}{3}$

$x = \frac{12}{3}-\frac{2y}{3}$

$x = 4-\frac{2y}{3}.$

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

$6(4-\frac{2y}{3}) + 3y = 21$

$24-\frac{12y}{3} + 3y = 21$

$24-4y + 3y = 21$

$24-y = 21$

$-y = 21-24$

$-y = -3$

$y = 3.$

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

$x = 4-\frac{2*3}{3}$

$x = 4-2$

$x = 2.$

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