To solve the system of equations, we will use the method of substitution or elimination.
Let's use the method of substitution by solving the first equation for x:
3x + 6y = 21
3x = 21 - 6y
x = (21 - 6y)/3
x = 7 - 2y
Now we substitute this expression for x into the second equation:
-5x + 2y = 13
-5(7 - 2y) + 2y = 13
-35 + 10y + 2y = 13
12y - 35 = 13
12y = 48
y = 48/12
y = 4
Now that we have the value of y, we can substitute it back into the expression for x:
x = 7 - 2y
x = 7 - 2(4)
x = 7 - 8
x = -1
Therefore, the solution to the system of equations is x = -1 and y = 4.
Solve the system of equations.
3x + 6y = 21
- 5x + 2y = 13 (1 point)
1 answer