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Chapter 3: Q. 393 (page 353)

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

5x+y=10

  1. (5,1)
  2. (2,0)
  3. (4,鈭�10)

Short Answer

Expert verified

The solutions of the given equation are:

b.(2,0)

c.(4,-10)

Step by step solution

01

Step 1. Given information

The equation is 5x+y=10...........equation (1)

Points are

  1. (5,1)
  2. (2,0)
  3. (4,鈭�10)
02

Part (a) Step 1. Check point 5,1

Substitute x=5,y=1 in the L.H.S of equation (1)

L.H.S

.5脳5+1=25+1=26

R.H.S. of equation (1) is 10

Since 26鈮�10

hence 5,1is not a solution to the equation.

03

Part(b) Step 1. To check point (2,0) 

Substitute x=2,y=0in L.H.S. of equation (1)

L.H.S.

=5脳2+0=10+0=10

R.H.S.=10

Since L.H.S.=R.H.S.

Hence 2,0is solution to the equation.

04

Part(c) Step 1. To check point (4,-10) 

Substitute x=4,y=-10in the L.H.S. of given equation (1)

L.H.S.=

5脳4+(-10)=20-10=10

R.H.S.=10

Since L.H.S.=R.H.S.

Hence 4,-10is solution to the given equation.

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