body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Glencoe Algebra 1, 2012

MH

McGraw Hill Glencoe Algebra 1, 2012 View details

8. Literal Equations and Dimensional Analysis

Continue to next subchapter

Exercise 59 Page 131

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

y=-3/2

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.

1/4-2/3y=3/4-1/3y

LHS+1/3y=RHS+1/3y

1/4+1/3y-2/3y=3/4

LHS-1/4=RHS-1/4

1/3y-2/3y=3/4-1/4

MoveRightFacToNum

a/c* b = a* b/c

y/3-2y/3=3/4-1/4

Subtract fractions

- y/3=2/4

a/b=.a /2./.b /2.

- y/3=1/2

LHS * 3=RHS* 3

- y=1/2* 3

MoveRightFacToNumOne

1/b* a = a/b

- y=3/2

LHS * (-1)=RHS* (-1)

y=-3/2

The solution to the equation is y=- 32. We can check our solution by substituting it into the original equation.

1/4-2/3y=3/4-1/3y

y= -3/2

1/4-2/3( -3/2) ? = 3/4-1/3( -3/2)

MultNegNegOnePar

- a(- b)=a* b

1/4+2/3*3/2 ? = 3/4+1/3*3/2

Multiply fractions

1/4+1? = 3/4+1/2

a/b=a * 2/b * 2

1/4+1? = 3/4+2/4

Rewrite 1 as 4/4

1/4+4/4 ? = 3/4+2/4

Add fractions

5/4=5/4

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

Subchapter links

Check Your Understanding p.128

Practice and Problem Solving p.129-130

H.O.T. Problems p.130

Standardized Test Practice p.131

Spiral Review p.131

Skills Review p.131