Question

Perform the indicated operations. x+1/3y+x-2/4y-x=3/6y

Answer 1

The student's question seems to be about algebraic operations with an unclear equation, but the provided example with y = 9 + 3x demonstrates how to create a table and graph of a linear equation with a slope of 3 and y-intercept of 9.

Step-by-step explanation:

The student's question involves performing the indicated operations with algebraic expressions that include variables and fractions. The expressions mentioned resemble an equation that could potentially be simplified or solved, but the question as written contains typos and lacks clear structure. Consequently, to provide an accurate answer, we would need the correct and complete version of the equation.

However, in similar problems, one would typically combine like terms, find a common denominator for fractions, and simplify the equation to solve for the variable. For the equation y = 9 + 3x, to create a table of values, one can choose different values of x, substitute them into the equation, and calculate the corresponding y values. Then, plotting these points on a graph would show the linear relationship represented by the equation with a slope (m) of 3 and a y-intercept (b) of 9.

Answer 2

The answer:
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x = (⅔)y ;

y = 3x/2.
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Given:

x + (⅓)y + x - (2/4)y - x = (3/6)y ;
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Take the: x + x - x = 1x + 1x - 1x = 2x - 1x = 1x = x ;

and rewrite:

x + (⅓)y - (2/4)y = (3/6)y ;
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Note that: (2/4)y = (½)y ;

and: (3/6)y = (½)y ; so;
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Rewrite as:
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x + (⅓)y - (½)y = (½)y ;

Add "(½)y" to EACH SIDE of the equation;
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x + (⅓)y - (½)y + (½)y = (½)y + (½)y ;

to get: x + (⅓)y = y ;

x = 1y - (⅓)y = (3/3) y - (1/3)y - [ (3-1)/3] y = (⅔)y ;

So: x = (⅔)y ;

In terms of "y" ;

Given: (⅔)y = x ; Multiply each side of the equation by "3" ;

3*[(⅔)y] = 3*x ;

to get: 2y = 3x ;

Now, divide EACH SIDE of the equation by "2" ; to isolate "y" on one side of the equation; and to solve for "y" (in terms of "x"):

2y / 2 = 3x / 2 ;

to get:

y = 3x/2 ;
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