Solve this pair of equations by the elimination method: 4x-3y=-4

3x=2y-4

4x-3y = -4

3x-2y = -4

8x-6y = -8
9x-6y = -12
Now subtract. The y disappears and you get
-x = 4
x = -4
now use that to get y.

To solve this pair of equations using the elimination method, we'll manipulate the equations so that when we add them together, one of the variables gets eliminated.

First, let's rearrange the second equation to isolate x:
3x = 2y - 4
Divide both sides of the equation by 3:
x = (2y - 4)/3

Now, we can substitute this expression for x into the first equation:
4x - 3y = -4
4((2y - 4)/3) - 3y = -4

Next, simplify the equation:
(8y - 16)/3 - 3y = -4
Multiply all terms by 3 to eliminate the denominator:
8y - 16 - 9y = -12

Combine like terms:
-y - 16 = -12
Add 16 to both sides of the equation:
-y = 4
Multiply both sides by -1:
y = -4

Now that we have the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the second equation:
3x = 2y - 4
Replace y with -4:
3x = 2(-4) - 4
3x = -8 - 4
3x = -12
Divide both sides by 3:
x = -12/3
x = -4

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

To solve this pair of equations by the elimination method, we need to eliminate one of the variables (either x or y) by adding or subtracting the two equations.

Let's start by multiplying the second equation by 4, so that the coefficients of x in both equations will be the same:

4(3x) = 4(2y-4)
12x = 8y - 16

Now, we can use the first equation and the modified second equation to eliminate y. We can subtract the first equation from the modified second equation:

(12x) - (4x-3y) = (8y - 16) - (-4)

Simplifying this equation gives us:

12x - 4x + 3y = 8y + 4

Combine the like terms:

8x + 3y = 8y + 4

To eliminate the variable y, we can subtract 3y from both sides of the equation:

8x = 8y - 3y + 4

Simplifying further:

8x = 5y + 4

Now, we have a new equation with only one variable, x. To solve for x, we can rearrange the equation:

8x - 5y = 4

This equation can be plugged back into either of the original equations to find the value of y. Let's use the first equation:

4x - 3y = -4

Rearranging this equation to solve for y:

-3y = -4 - 4x
y = (-4 - 4x) / -3

Now, we have expressions for both x and y, so we can solve for their values.