SOLUTION: Solve each equation by first eliminating the fractions 1/2q - 6 = 1/5q Solve each equation by first eliminating the decimal numbers 0.5b + 3.4 = 0.2b + 12.4 Solve each equa

Algebra ->  Algebra  -> Equations -> SOLUTION: Solve each equation by first eliminating the fractions 1/2q - 6 = 1/5q Solve each equation by first eliminating the decimal numbers 0.5b + 3.4 = 0.2b + 12.4 Solve each equa      Log On

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 Algebra: Equations Solvers Lessons Answers archive Quiz In Depth

 Question 39554: Solve each equation by first eliminating the fractions 1/2q - 6 = 1/5q Solve each equation by first eliminating the decimal numbers 0.5b + 3.4 = 0.2b + 12.4 Solve each equation. If you feel proficient enough, try simplying the process 4x - 2 = -8 + 5x Solve each equation. Identify each as a conditional equation, an inconsistent equation or an identity 3 - 3(5 - x) = 0 Solve each equation -3 - 4(t - 5) = -2(t + 3) + 11Answer by zeynep(43)   (Show Source): You can put this solution on YOUR website!1/2q - 6 = 1/5q let's get rid of those fractions by multiplying moth sides by the LCD of 10; 10.(1/2q - 6) =10.( 1/5q ) 5q-60=2q add additive inverse of 2q to both sides; 5q-60-2q=2q-2q 3q-60=0 add additive inverse of -60 to both sides; 3q-60+60=0+60 3q=60 divide both sides by 3; q=20 0.5b + 3.4 = 0.2b + 12.4 Let's multiply both sides by 10 to eliminate the decimals; 5b+34=2b+124 5b+34-2b=2b+124-2b 3b+34=124 3b+34-34=124-34 3b=90 divide both sides by 3; b=30 4x - 2 = -8 + 5x get the variables on the same side by adding additive inverse of 5x to both sides. 4x - 2-5x = -8 + 5x-5x -x-2=-8 add additive inverse of -2 to oth sides to leave the variable, which is x, alone; -x-2+2=-8+2 -x=-6 divide both sides by -1; x=6 3 - 3(5 - x) = 0 3-15+3x=0 -12+3x=0 -12+3x+12=0+12 3x=12 divide both sides 3; x=4 This equation is a conditional equation. A conditional equation is an equation that is not true for all real numbers but has at leat one real number solution. -3 - 4(t - 5) = -2(t + 3) + 11 -3-4t+20=-2t-6+11 -4t+17=-2t+5 -4t+17+2t=-2t+5+2t -2t+17=5 -2t+17-17=5-17 -2t=-12 divide both sides by -2 t=6