Question

If 4x - 7y = 3 and 2x - y = 9, then x - y is.

A) 3 B) 4 C) 5 D) 6

Answer 1

Answer:

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Step-by-step explanation:

4x - 7y = 3 ---> EQ1

2x - y = 9 --->EQ2

Solving EQ1 and EQ2

4x - 7y = 3 ==>       4x - 7y = 3---->EQ1

(2*(2x - y = 9 )) ==> 4x - 2y = 18 --->EQ2

                            (-)    (+)      (-)

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                              -5y = -15

y=15/5 =3

x=(9+3)/2 = 6

THEREFORE,

x-y= 6 - 3 = 3

Answer 2

Answer:

x-y=3

Step-by-step explanation:

Solution:

4x - 7 y = 3 ...... (1)

2x-y=9 ....... (2)

Multiplying eq. (2) by 2

2(2x-y =9)

4x-2y = 18 ....... (3)

Subtracting (1) from (3)

4x - 7y = 3

(-) 4x - 2y = 18

(-) (+) (-)

0 -5y = -15

y = 3

Substituting y =-15 in eq. (2)

2x-(3) = 9

2x -3 = 9

2x = 9+3

2x = 12

x = 12/2

x = 6

x-y = 6-3

= 3

x-y = 3

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