Solve the system of equations. 3x+6y=21 –5x+2y=13. What’s the answer

Answer 1

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

Let's use the elimination method.

Multiply the first equation by 5 and the second equation by 3 to simplify the system:

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

Now add the two equations together to eliminate x:

36y = 144

Now, divide by 36 to solve for y:

y = 4

Now substitute y = 4 back into one of the original equations to solve for x. Let's use the first equation:

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.