Solve this using elimination method: 4x-3y=-4
You need two equations to use the elimination method.
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To solve the equation 4x - 3y = -4 using the elimination method, we need to eliminate one variable so that we can solve for the other.
Step 1: Multiply the entire equation by a constant to make the coefficients of one variable equal in magnitude but opposite in sign. In this case, let's eliminate the y variable by making the coefficients equal to each other.
Multiply the entire equation by 3 to make the coefficients of y equal:
3 * (4x - 3y) = 3 * (-4)
12x - 9y = -12
Step 2: Now we can eliminate the y variable by subtracting the two equations we have created. Subtract the second equation from the first equation:
(12x - 9y) - (4x - 3y) = -12 - (-4)
12x - 9y - 4x + 3y = -12 + 4
8x - 6y = -8
Step 3: Simplify the equation obtained after elimination:
8x - 6y = -8
Step 4: Now we have a new equation with only one variable, x. Solve for x by isolating it on one side of the equation. Add 6y to both sides:
8x = 6y - 8
Step 5: Divide both sides of the equation by 8 to solve for x:
x = (6y - 8) / 8
x = (3y - 4) / 4
Now we have the solution for x in terms of y.
Thus, by using the elimination method, 4x - 3y = -4 can be solved and x can be expressed in terms of y as x = (3y - 4) / 4.