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Chapter 3: Q. 394 (page 353)

In the following exercises, determine which ordered pairs are solutions to the given equations.

y=6x-2

  1. (1,4)
  2. 13,0
  3. 6,-2

Short Answer

Expert verified

The solutions to the given equation are

  1. 1,4
  2. 13,0

Step by step solution

01

. Given information

Equation is y=6x-2.......equation (1)

Points are

  1. (1,4)
  2. 13,0
  3. 6,-2
02

Part (a) Step 1. Check point (1,4) 

Substitute x=1,y=4in equation (1)

L.H.S.=4

R.H.S.=

6脳1-2=6-2=4

here L.H.S.=R.H.S.

So the point (1,4) is the solution to the equation.

03

Part(b) Step 1. To check point 13,0

Substitute x=13,y=0in equation (1)

L.H.S.=0

R.H.S=

.6脳13-2=2-2=0

here L.H.S.=R.H.S.

So the point 13,0is the solution to the equation.

04

Part(c) Step 1. To check point (6,-2) 

Substitute x=6,y=-2in equation (1)

L.H.S.=-2

R.H.S=
localid="1645008586176" 6脳6-2=36-2=34

Since

-2鈮�34

Hence (6,-2) is not a solution to the equation.

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Graph the equation4x+y=4using the intercepts.

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