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Core Connections Geometry, 2013

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Core Connections Geometry, 2013 View details

2. Section 12.2

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Exercise 95 Page 764

Practice makes perfect

a

To solve the given literal equation for y, we will use the Properties of Equality to apply inverse operations on the equation.

6x+5y=20

▼

Solve for x

LHS-6x=RHS-6x

5y = -6x + 20

.LHS /5.=.RHS /5.

y = -6x + 20/5

Write as a sum of fractions

y = -6x/5 + 20/5

MovePartNumRight

a* b/c=a/c* b

y = -6/5x + 20/5

MoveNegNumToFrac

Put minus sign in front of fraction

y = -6/5x + 20/5

Calculate quotient

y = -6/5x + 4

b Like in Part A, we will solve the given literal equation for y by applying inverse operations.

4x - 8y = 16

▼

Solve for y

LHS+8y=RHS+8y

4x = 16 + 8y

LHS-16=RHS-16

4x - 16 = 8y

.LHS /8.=.RHS /8.

4x-16/8 = y

Write as a difference of fractions

4x/8 - 16/8 = y

MovePartNumRight

a* b/c=a/c* b

4/8x - 16/8 = y

a/b=.a /4./.b /4.

1/2x - 16/8 = y

Calculate quotient

1/2x - 2 = y

Rearrange equation

y = 1/2x - 2

Subchapter links

12.2.1 Using Coordinate Geometry and Constructions to Explore Shapes p.752-753

12.2.2 Euler's Formula for Polyhedra p.756-757

12.2.3 The Golden Ratio p.763-764

12.2.4 Using Geometry to Find Probabilities p.767-768