Which of these strategies would eliminate a variable in the system of equations?
2x + 3y = -5
2x-3y = 10

A and B

Add or subtract

Step-by-step explanation:

Because the absolute values of BOTH numbers attached to "x" and "y" are the same in both equations, you can add or subtract. When you add or subtract equations, to add or subtract each of the terms separately.

Let's try adding the equations:

.    2x + 3y = -5

+    2x - 3y = 10     3y + (-3y) = 3y - 3y = 0. "y" is eliminated.

.       4x - 0 = 5

.             4x = 5     Only one variable

Let's try subtracting the equations:

.     2x + 3y = -5

-     2x - 3y = 10      2x - 2x = 0. "x" is eliminated.

.      0 + 6y = -15

.             6y = -15    Only one variable

If you multiply the top equation by 2, NEITHER of the numbers with "x" or "y" will be the same in both equation.

Let's try multiplying 2x + 3y = -5  by 2.

2x + 3y = -5     X2 =>   4x + 6y = -10

Add the equations:

.     4x + 6y = -10

+     2x - 3y = 10

.       6x - 3y = 0    None of the variables are eliminated and we can't solve for any variable.

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.