Question

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

Answer 1

wrong

Answer 2

(3, 2)

Answer 3

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

Given equations:
1. 3x + 6y = 21
2. -5x + 2y = 13

First, let's multiply the second equation by 3 to make the coefficient of y the same in both equations.

3*(-5x + 2y) = 3*13
-15x + 6y = 39

Now, the system of equations becomes:
1. 3x + 6y = 21
2. -15x + 6y = 39

To eliminate y from the equations, we can subtract equation 1 from equation 2:

-15x + 6y - (3x + 6y) = 39 - 21
-15x + 6y - 3x - 6y = 18
-18x = 18
x = -1

Now, substitute x back into equation 1 to solve for y:

3*(-1) + 6y = 21
-3 + 6y = 21
6y = 24
y = 4

Therefore, the solution to the system of equations is (-1, 4).