# Liner Equation. Equations EQUATION ARE PROBLEMS THAT YOU HAVE TO SOLVE IN THE FUTURE Linear Equations Are Things Like y ÷ 3 = 5 y ÷ 3 × 3 = 5 × 3 y =

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Liner Equation

Equations EQUATION ARE PROBLEMS THAT YOU HAVE TO SOLVE IN THE FUTURE Linear Equations Are Things Like y ÷ 3 = 5 y ÷ 3 × 3 = 5 × 3 y = 15, To solve a linear equation, use opposite operations to get the variable by itself. also remember to keep the equation balanced by doing the same thing to both sides of the equation..

Examples1 Example: Solve for x.4x - 5 = 3 Solution: First, add 5 to both sides of the equation so that 4x is by itself on the left side of the equation. 4x - 5 + 5 = 3 + 54x = 8 Next, divide both sides of the equation by 4 so that x is by itself. 4x ÷ 4 = 8 ÷ 4x = 2 Then, check the answer by substituting 2 in for x in the original equation. 4(2) - 5 = 38 - 5 = 33 = 3 The equation is true when x = 2. Therefore, the solution is x = 2.

Examples2 4y = 12 4y ÷ 4 = 12 ÷ 4 y = 3 The value of y = 3 makes the equation, 4 × 3 = 12, a true statement.

Examples3 x - 5 = 10 x - 5 + 5 = 10 + 5 x = 15 The value of x = 15 makes the equation, 15 - 5 = 10, a true statement. y ÷ 3 = 5 y ÷ 3 × 3 = 5 × 3 y = 15 The value of y = 15 makes the equation, 15 ÷ 3 = 5, a true statement.

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