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McGraw Hill Glencoe Algebra 1, 2012 View details

1. Graphing Linear Equations

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Exercise 37 Page 160

Can the equation be written in standard form?

Linear? Yes.
Equation: 3x-4y=60

Practice makes perfect

To determine if the given equation is a linear equation, let's first see if we can rewrite it in standard form. Ax+ By= CIn this form, A, B, and C are constants and A and B cannot both be zero.

x/2=10+2y/3

▼

LHS * 3=RHS* 3

MultEqn

LHS * 3=RHS* 3

x/2*3=10*3 + 2y/3*3

MoveRightFacToNum

a/c* b = a* b/c

3x/2=10*3 + 2y/3*3

Multiply

3x/2=30+ 2y/3*3

FracMultDenomToNumber

a/3* 3 = a

3x/2=30+ 2y

▼

LHS * 2=RHS* 2

MultEqn

LHS * 2=RHS* 2

3x/2*2=30*2+2y*2

FracMultDenomToNumber

a/2* 2 = a

3x=30*2+2y*2

Multiply

3x=60+4y

SubEqn

LHS-4y=RHS-4y

3x-4y=60

This is the standard form of the given equation. Below we have highlighted how it corresponds to the general standard form. 3x-4y=60 ⇔ 3x+( -4)y= 60 When written this way, we can see that A= 3, B= -4, and C= 60. Since this equation can be written in standard form, it is linear.

Subchapter links

Check Your Understanding p.159

Practice and Problem Solving p.159-161

H.O.T. Problems p.161

Standardized Test Practice p.162

Spiral Review p.162

Skills Review p.162

Exercise 37 Page 160

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