Question

Evaluate the expression for the given values of the variables.

Answer 1

The solution of given expression 12(3/4)x - (1/2)y - 6(1/2)x - (3/4)y after evaluation is 14.5 .

The given expression is 12(3/4)x - (1/2)y - 6(1/2)x - (3/4)y.

We have x = 2 and y = -2 as per the question.

To evaluate the expression, first we need to simplify the given expression and then we can substitute the given value of  x and y in simplified expression.

The given expression can be simplified as,

   12(3/4)x - (1/2)y - 6(1/2)x - (3/4)y

⇒ 9x - (1/2)y - 3x - (3/4)y

⇒ 6x - ((1/2)+(3/4))y

On taking LCM of coefficient of y, we will get

6x - (5/4)y

Now on substituting x = 2 and y = -2, we get

6(2) - (5/4)(-2)

= 12 + (5/2)

= 29/2 = 14.5

The solution of given expression 12(3/4)x - (1/2)y - 6(1/2)x - (3/4)y after evaluation is 14.5 .

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