Answered

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Perform the indicated operations. x-2 x+3 x + ¹ + 3y 4y 6 y O x-4 y 09x-8 12y 5x-8 12y Perform the indicated operations . x - 2 x + 3 x + ¹ + 3y 4y 6 y O x - 4 y 09x - 8 12y 5x - 8 12y

Perform The Indicated Operations X2 X3 X 3y 4y 6 Y O X4 Y 09x8 12y 5x8 12y Perform The Indicated Operations X 2 X 3 X 3y 4y 6 Y O X 4 Y 09x 8 12y 5x 8 12y class=

Sagot :

Given:

[tex]\frac{x+1}{3y}+\frac{x-2}{4y}-\frac{x+3}{6y}[/tex]

To solve it, follow the steps below.

Step 01: Find a common denominator.

Factoring the coefficients:

3, 4, 6 | 2

3, 2, 3 | 2

3, 1, 3 | 3

1, 1 ,1

2*2*3 = 12

The common denominator can be 12y.

Step 02: Write the function using the common denominator.

[tex]\begin{gathered} \frac{x+1}{3y}+\frac{x-2}{4y}-\frac{x+3}{6y} \\ \frac{4*(x+1)+3(x-2)-2(x+3)}{12y} \end{gathered}[/tex]

Step 03: Solve the function.

[tex]\begin{gathered} \frac{4*x+4*1+3*x+3*(-2)-2*x-2*3}{12y} \\ \frac{4x+4+3x-6-2x-6}{12y} \end{gathered}[/tex]

Adding the like-terms.

[tex]\begin{gathered} \frac{4x+3x-2x+4-6-6}{12y} \\ \frac{5x-8}{12y} \end{gathered}[/tex]

Answer:

[tex]\frac{5x-8}{12y}[/tex]

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