Solve 7y(?-?)=-14xy+21: Finding Missing Terms in Linear Equations

Question

Fill in the missing values:

7y(??)=14xy+21 7y(?-?)=-14xy+21

Video Solution

Step-by-Step Solution

To solve this problem, we need to factor both sides of the equation 7y(??)=14xy+21 7y(?-?) = -14xy + 21 .

First, observe the terms on the right-hand side: 14xy -14xy and 21 21 .

  • Both terms share a common factor of 7. Factoring out 7 from both terms yields:

7(2xy+3) 7(-2xy + 3) .

Thus, the expression becomes:

7y(2x+3y) 7y(-2x + \frac{3}{y}) since the y was outside the parenthesis in the left.

Matching terms with 7y(??) 7y(? - ?) , the missing values are 3y \frac{3}{y} and 2x 2x .

Therefore, the solution is: 3y,2x \frac{3}{y}, 2x , corresponding to the correct choice.

Answer

3y,2x \frac{3}{y},2x