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horsena [70]
3 years ago
10

Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same

value if she substitutes y = 3?
Mathematics
1 answer:
fiasKO [112]3 years ago
6 0

Missing Part of the Question

  • 3 (4 - y) -7 ; 5 + 3y
  • 9 + y + 4y - 2 - 3y; -2y + 7
  • 5 + y - 2 - 6y + y; 8y + 3
  • 2y + 7 + y - 2 + y; 4y + 5

Answer:

  • 2y + 7 + y - 2 + y; 4y + 5

Step-by-step explanation:

Given

y = 3

Required

Which pair of expression are equal

To get the pair of expression that are equal; we simply substitute 3 for y in each of the expressions

3 (4 - y) -7 and 5 + 3y

<em>Substitute 3 for y in 3 (4 - y) -7</em>

This gives 3(4 - 3) -7

= 3(1) - 7

= 3 - 7

= -4

<em>Then Substitute 3 for y in 5 + 3y</em>

This gives  5 + 3(3)

= 5 + 9

= 14

-4 and 14 are not equal

---------------------------------------------------------------------------------------

9 + y + 4y - 2 - 3y; -2y + 7

<em>Substitute 3 for y in </em>9 + y + 4y - 2 - 3y

This gives 9 + 3 + 4(3) - 2 - 3(3)

= 9 + 3 + 12 - 2 - 9

= 13

<em>Then Substitute 3 for y in -2y + 7</em>

This gives  -2(3) + 7

= -6 + 7

= 1

13 and 1 are not equal

---------------------------------------------------------------------------------------

5 + y - 2 - 6y + y; 8y + 3

<em>Substitute 3 for y in 5 + y - 2 - 6y + y</em>

This gives 5 + 3 - 2 - 6(3) + 3

= 5 + 3 - 2 - 18 + 3

= -9

<em>Then Substitute 3 for y in 8y + 3</em>

This gives  8(3) + 3

= 24 + 3

= 27

-9 and 27 are not equal

---------------------------------------------------------------------------------------

2y + 7 + y - 2 + y; 4y + 5

<em>Substitute 3 for y in 2y + 7 + y - 2 + y</em>

This gives 2(3) + 7 + 3 - 2 + 3

= 6 + 7 + 3 - 2 + 3

= 17

<em>Then Substitute 3 for y in 4y + 5</em>

This gives  4(3) + 5

= 12 + 5

= 17

17 and 17 are equal

Hence, Option D is correct

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