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Solve 3x-y=7 and 3x+y=11 using substitution method

User Janelly
by
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1 Answer

3 votes

Answer:

x = 3 ; y = 2

Explanation

3x - y = 7

= 3x - y - 7 = 0

= 3x - 7 = y — (equation i)

Substitute (equation i) into the second equation:


3x + (3x - 7) = 11

Expand the brackets by applying the Distributive Law and bring all the like terms together:

3x + 3x - 7 = 11

= 6x - 7 = 11

= 6x = 11 + 7

= 6x = 18

= x =
(18)/(6)

= x = 3


Substitute the calculated value of x into (equation i) to determine the value of y:

3 x - 7 = y

= 3(3) - 7 = y

= 9 - 7 = y

= y = 2

User SrinR
by
7.0k points