Question

Solve the system of equations
3x + 6y = 21
-5x + 2y = 13

Answer 1

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

First, we'll multiply the first equation by 5 and the second equation by 3 to get rid of the x terms:
15x + 30y = 105
-15x + 6y = 39

Now, we'll add these two equations together to eliminate the x terms:
36y = 144

Now divide by 36 to get the value of y:
y = 4

Next, substitute the value of y back into one of the original equations to solve for x:
3x + 6(4) = 21
3x + 24 = 21
3x = -3
x = -1

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