Solve the system of equations. 3x+6y=21 –5x+2y=13 (1 point)

Answer 1

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

First, let's solve the first equation for x:
3x + 6y = 21
3x = 21 - 6y
x = (21 - 6y)/3
x = 7 - 2y

Now, we can substitute this expression for x into the second equation:
-5(7 - 2y) + 2y = 13
-35 + 10y + 2y = 13
12y = 48
y = 4

Now that we have the value of y, we can substitute it back into the expression for x:
x = 7 - 2(4)
x = 7 - 8
x = -1

Therefore, the solution to the system of equations is x = -1 and y = 4.