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Each one of the following is an equation is one variable. There are terms with variables on both sides of the equation. The equations have been solved using the rules of equality. Study them.
Method Explanation
Ex. 1. 8y + 5 = 3y + 20 Simplified form using the
∴ 8y – 3y + 5 = 3y – 3y + 20 subtraction property of an
∴ 5y + 5 = 20 equation.
∴ 5y + 5 – 5 = 20 – 5
∴ 5y = 15 Simplified form using the division
∴ = ∴ y = 3 property of an equation.
Solution of the equation : 3
Solve the equations.
(1) y – 2 = 9
(2) p + 3 = 12
(3) 3x = 18
(4) m/4 = 8