Solve the following simultaneous equations: x/4 + y = 1 and (x-3)/2 = 2y

(x, y ) = ( , )

Step-by-step explanation:

given the 2 equations

+ y = 1 → (1)

= 2y → (2)

multiply (1) by 4 and (2) by 2 to eliminate the fractions

x + 4y = 4 → (1)

x - 3 = 4y → (2)

rearrange (2 ) expressing x in terms of y

x = 4y + 3 → (3)

substitute x = 4y + 3 into (1)

4y + 3 + 4y = 4

8y + 3 = 4 ( subtract 3 from both sides )

8y = 1 ( divide both sides by 8 )

y =

substitute this value into (3 ) for x

x = (4 × ) + 3 =

solution is (, )

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step-by-step explanation:

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