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### Grade 7 - Mathematics6.25 Equations With Decimal Coefficients - I

 Example: Solve the equation (2.1)x + 0.04 = 5.6. Solution: Writing decimals as common fractions, we have 21x/10 + 4/100 = 56/10 L.C.M. of denominators 10 and 100 is 100. \ Multiplying both sides of the equation by 100. 210x + 4 = 560 210x = 560 - 4 210x = 556 x = 556/210 x = 278/105 Verification: Substitute x = 278/105 in the equation L.H.S. Þ (2.1)x + 0.04 = 2.1 * 278/105 + 0.04 583.8/105 + 0.04Þ 5.56 + 0.04 = 5.6 = R.H.S. \ x = 278/105 is the solution. Directions: Solve the following equations. Also write at least ten examples of your own.
 Q 1: Solve the equation (2.3)x + 2.1 = 2.01.230150-9/230 Q 2: Solve the equation (2.5)x - 1 = 6.5.236 Q 3: Solve the equation (1.5)x - 0.1 = 2.9.362 Q 4: Solve the equation (4.1)x - 8.1 = 0.1.326 Q 5: Solve the equation (2.2)x + 1.05 = 3.6.514451/44 Q 6: Solve the equation (3.4)x + 0.01 = 3.5.349/340351/340315 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!