Question

-4y +2y + 2 x - 8 = Determine the Value of the variable in the equation or inequalities. Justify steps in the process and check

Answer 1

To solve the equation -4y + 2y + 2x - 8 = 0, combine like terms, move numbers to the right side, isolate the variable, and divide both sides. Then, check the solution by substituting the values back into the original equation.

Step-by-step explanation:

To solve the equation -4y + 2y + 2x - 8 = 0:

1. Combine like terms: -2y + 2x - 8 = 0.
2. Move the numbers to the right side of the equation: -2y + 2x = 8.
3. Isolate the variable: -2y = -2x + 8.
4. Divide both sides by -2 to solve for y: y = x - 4.

To check your answer, substitute the value of y in the original equation and solve.

For example, if x = 6, y = 6 - 4 = 2. Substitute these values into the equation: -4(2) + 2(2) + 2(6) - 8 = 0. Simplify both sides to check if they are equal.