Solve the system of equations.

Question

3x+6y=21
–5x+2y=13 (1 point???

Answer 1

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

Let's use the elimination method in this case.

First, we want to eliminate one variable by multiplying one or both of the equations by a constant such that when we add the equations together, one variable cancels out.

Let's multiply the first equation by 5 and the second equation by 3 to get:

15x + 30y = 105
-15x + 6y = 39

Now, add the two equations together:

15x + 30y - 15x + 6y = 105 + 39
36y = 144
y = 4

Now substitute y = 4 back into one of the original equations to solve for x:

3x + 6(4) = 21
3x + 24 = 21
3x = -3
x = -1

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