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Equation involving cross multiplication1

Equation involving cross multiplication1. 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 LHS. Denominator LHS.

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Equation involving cross multiplication1

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  1. Equation involving cross multiplication1

  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 LHS 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. Step 1: Cross Multiply to convert equation to linear form Step 2: Open brackets RHS Step 3: Transpose Variable from RHS to LHS Transpose Constant from LHS to RHS Example 1: Solve: Solution: Given 9 c – 3 = 2*(3c) 9c – 3 = 6c 9c - 6c = 3 3c = 3 Step 4: Divide both sides by 3 Ans: c = 1

  4. Step 1: Cross Multiply to convert equation to linear form Step 2: Open brackets RHS Step 3: Transpose Variable from RHS to LHS Example 2: Solve: Solution: Given: 4 c = 7*(2c + 6) 4c = 14 c + 42 4c – 14 c = 42 -10c = 42 Step 4: Divide both sides by -10 Simplify Ans:

  5. Step 1: Cross Multiply to convert equation to linear form Step 2: Open brackets RHS Step 3: Transpose Variable from RHS to LHS Example 3: Solve: Solution: Given: 5 c = 4*(3 – 2c) 5 c = 12 – 8 c 5 c + 8 c = 12 13c = 12 Step 4: Divide both sides by 13 Ans:

  6. Step 1: Cross Multiply to convert equation to linear form Step 2: Open brackets RHS Step 3: Transpose Variable from RHS to LHS Example 4: Solve: Solution: Given: z * 9 = 4*(z - 8) 9 z = 4z - 32 9z - 4z = -32 5z = -32 Step 4: Divide both sides by 5 Ans:

  7. Try these Solve: 1. 4x/(x + 6) = 5 2. 6x/(10 - 2x) = 2 3. z/(z- 5) = 4/9

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