Question

Please help!!
-2x + 2y=-4 x-4y=-10 solve by elimination

Answer 1

To solve this system of equations by elimination, we need to eliminate one of the variables, either x or y. Let's choose to eliminate y:

-2x + 2y = -4

x - 4y = -10

Multiplying the second equation by 2, we get:

-2x + 2y = -4

2x - 8y = -20

Now we can add the two equations to eliminate y:

-2x + 2y + 2x - 8y = -4 - 20

Simplifying, we get:

-6y = -24

Dividing both sides by -6, we get:

y = 4

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

-2x + 2y = -4

-2x + 2(4) = -4

Simplifying, we get:

-2x + 8 = -4

Subtracting 8 from both sides, we get:

-2x = -12

Dividing both sides by -2, we get:

x = 6

Therefore, the solution to the system of equations is (x, y) = (6, 4).

Answer 2

Explanation:

To solve by elimination, we need to get the coefficients of either x or y the same for both equations.

Let's first multiply the second equation by 2, so that the coefficients of x become opposite in sign:

-2x + 2y = -4

2x - 8y = -20

Now, we can add the two equations together to eliminate x:

(2x - 8y = -20)

(-2x + 2y = -4)

-6y = -24

Dividing both sides by -6, we get:

y = 4

Now, we can substitute this value of y into either of the original equations to solve for x. Let's use the first equation:

-2x + 2y = -4

-2x + 2(4) = -4

-2x + 8 = -4

-2x = -12

x = 6

Therefore, the solution is (x, y) = (6, 4).