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McGraw Hill Integrated I, 2012

MH

McGraw Hill Integrated I, 2012 View details

4. Solving Equations with the Variable on Each Side

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Exercise 1 Page 100

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

x=4

Practice makes perfect

To solve an equation with a variable on both sides, we gather all of the variable terms on one side of the equation and all of the constant terms on the other side using the Properties of Equality.

13x+2=4x+38

LHS-2=RHS-2

13x+2-2=4x+38-2

Subtract terms

13x=4x+36

LHS-4x=RHS-4x

13x-4x=4x+36-4x

Subtract terms

9x = 36

.LHS /9.=.RHS /9.

9x/9 = 36/9

Calculate quotient

x = 4

The solution to the equation is x=4. We can check our solution by substituting it into the original equation.

13x+2 = 4x+38

x= 4

13( 4)+2 = 4( 4)+38

Multiply

52+2 = 54

Add terms

54 = 54

Since the left-hand side is equal to the right-hand side, our solution is correct.

Subchapter links

Check Your Understanding p.100

Practice and Problem Solving p.100-101

H.O.T. Problems p.101

Standardized Test Practice p.102

Spiral Review p.102

Skills Review p.102