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Solve the system of linear equations by substitution. 5x+2y=9 y-x= 8

Sagot :

ntamovuyolwethu58
  1. From equation 2(y-x=8)
  2. y=8+x.....name equation 3
  3. Sub equation 3 in equation 1
  4. 5x+2(8+x)-9=0 (Transpose the 9)
  5. 5x+16+2x-9=0 (Group the like terms)
  6. 5x+2x+16-9
  7. 7x+7
  8. x=7+7=14
  9. x=14

rozy584

Answer:

x=1

y=9

Step-by-step explanation:

5x+2y=9 , y-x= 8

y=8+x

put 8+ x anywhere we see y

5x+2(8+x)=9

5x+16+2x=9

5x+2x+16=9

7x+16=9

16-9=7x

7=7x

divide both sides by 7

x=1

if x=1, then y-1=8

y=8+1

y=9

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