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Subtract


x + y = 5

-(x - 3y = 3)

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

4y = 2


Isolate the y. Divide 4 from both sides


4y/4 = 2/4


y = 1/2


y = 1/2


Plug in 1/2 for y in one of the equations.


x + y = 5


x + (1/2) = 5


Isolate the x. Subtract 1/2 from both sides


x + 1/2 (-1/2) = 5 (-1/2)


x = 4 1/2


x = 4 1/2, y = 1/2, is your answer


hope this helps

smmwaite

Answers


x = 4 1/2

y = 1/2



Explanation

x + y = 5 ...................... (i)

x - 3y = 3 ....................(ii)


By substitution method, first make x the subject from equation (i)

x + y = 5

x = 5 - y


Substitute x in equation (ii) with 5-y.


x - 3y = 3

(5-y) - 3y = 3

5 - y - 3y = 3

5 - 4y = 3

4y = 5-3

4y = 2

y = 2/4 = 1/2


From equation (i),

x = 5 - y

= 5 - 1/2

= 4 1/2

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