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Algebraic Expressions & Identity
Q 1.What should be added to 4x + 2y to get 2x + 3y?
Ans.Simplifying
2x + 3y = 4x + 2y
Solving
2x + 3y = 4x + 2y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
2x + -4x + 3y = 4x + -4x + 2y
Combine like terms: 2x + -4x = -2x
-2x + 3y = 4x + -4x + 2y
Combine like terms: 4x + -4x = 0
-2x + 3y = 0 + 2y
-2x + 3y = 2y
Add '-3y' to each side of the equation.
-2x + 3y + -3y = 2y + -3y
Combine like terms: 3y + -3y = 0
-2x + 0 = 2y + -3y
-2x = 2y + -3y
Combine like terms: 2y + -3y = -1y
-2x = -1y
Divide each side by '-2'.
x = 0.5y
Simplifying
x = 0.5y
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