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Equation involving cross multiplication2

Equation involving cross multiplication2. Recap - Reducing Equation to the linear form by Cross multiplication. Numerator RHS. Numerator LHS. Is an Equation. We need convert into linear form (in a line) before we solve. Denominator RHS. Denominator LHS.

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Equation involving cross multiplication2

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  1. Equation involving cross multiplication2

  2. Recap - Reducing Equation to the linear form by Cross multiplication Numerator RHS Numerator LHS Is an Equation. We need convert into linear form (in a line) before we solve Denominator RHS Denominator LHS By Cross multiplication, we convert the equation to linear form. Cross Multiplying Denominator of LHS with Numerator of RHS Cross Multiplying Numerator of LHS with Denominator of RHS Where 'x' is the variable a,b,c,d, m,n are numerals Open Brackets by Multiplying , Transpose and Solve Let us do some examples.

  3. Example 1: Solve: Solution: Step 1: In LHS, Taking LCM of 5 and 1 as 5 Step 2: Cross Multiply to convert equation to linear form Step 3: Opening brackets on both sides Step 4: Transpose Variable from RHS to LHS Transpose Constant from LHS to RHS Step 5: Simplify the terms in LHS and RHS Step 6: Ans: x = -6 Divide both sides by 9

  4. Example 2: Solve: Solution: Step 1: Transpose the variable term in RHS to LHS Step 2: In LHS, Taking LCM of 1,3,6 as 6 Step 3: Open the brackets on LHS and cross multiply 6*7 -18y+6y+4y -18y +10y =-8y Step 4: Simplify grouping variables and constants in RHS Step 5: Divide both sides by -8 Answer:

  5. Example 3: Solve: Solution: Given: Step 1: Transpose the variable term in RHS to LHS Step 2: In LHS, Taking LCM of 3,5,6 as 30 Step 3: Open the brackets on LHS and cross multiply 30 * 1 20x-18x-15x 20x – 33x =-13x -35-30 +30 = -35 Step 4: Simplify grouping variables and constants in RHS Step 5: Transposing -35 on RHS Step 6: Divide both sides by -13 Answer: x = -5

  6. Try these • Solve: • Solve: • Solve:

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