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3/4x -1/2y= 8 and 2x +y=40

User SteveJ
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1 Answer

2 votes

Answer:

The value of x is 16 and the value of y is 8.

Explanation:

Consider the provided equation.


(3)/(4)x -(1)/(2)y= 8\ and\ 2x +y=40

Isolate x for
\:(3)/(4)x-(1)/(2)y=8


(3)/(4)x-(1)/(2)y+(1)/(2)y=8+(1)/(2)y


(3)/(4)x=8+(1)/(2)y

Multiply both side by 4 and simplify.


3x=32+2y


x=(32+2y)/(3)

Substitute the value of x in
2x +y=40


2\cdot (32+2y)/(3)+y=40


(64)/(3)+(7y)/(3)=40


64+7y=120


7y=56


y=8

Now substitute the value of y in
x=(32+2y)/(3)


x=(32+2\cdot \:8)/(3)


x=16

Hence, the value of x is 16 and the value of y is 8.

User Wrtsprt
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6.7k points