Solve the system of equations. (1 point)

Question

3x+6y=21
–5x+2y=13

( , )

Answer 1

To solve the system of equations, we can use the method of substitution or elimination.

Let's solve it using the method of substitution:

From the first equation, we can isolate x:

3x + 6y = 21
3x = 21 - 6y
x = (21 - 6y)/3
x = 7 - 2y

Now we substitute x in the second equation:

-5x + 2y = 13
-5(7 - 2y) + 2y = 13
-35 + 10y + 2y = 13
12y = 48
y = 4

Now we substitute y back into x = 7 - 2y:

x = 7 - 2(4)
x = 7 - 8
x = -1

Therefore, the solution to the system of equations is (-1, 4).