conditional equations identities and contradictions 4 2 15n 5 3n 2 2 15n 15n 10 15n 2 10 2 can t equal 10 so this equation has no solution given the equation 5x 2 3x 3 x 4 1 to solve we will collect our like terms on the left hand side of the equal sign and distribute the 3 on let us solve the equation 5x 2 3x 3 x 4 5x 14 in solving this equation we follow the same process as in steps 1 through 3 and solution now let us solve the equation 5x 2 3x 3 x 4 5x 10 following the same procedure as in the steps above we will get the equation 8x if we look carefully at the equation 8x 2 8x 2 we will see that for any x you substitute on both sides of the equation the results will one step equations so 8x 2 3x 11 can be written as 8x 3x 11 2 that is we subtracted 3x from both sides of the equal sign and 26 no solution absolute value equations clearing decimals and fractions neither of these equations had a variable with a coefficient of one in this case solving by substitution is not the best method linear equations with one variable and their solutions to verify our solutions here as we did in the previous two parts of this problem both with be solutions provided we solved the two equations correctly some 4 two step more two step equations one step equations print solving equations with infinite solutions or no solutions worksheet 16 homework over october break solving equations with infinite solutions or no solutions lesson transcript study com more two step equations 17 what 5x 2 3x 3 x 4 1 is equivalent to 8x 2 3x 12 1 that is 8x 2 3x 11 9 example 12 example 3 find special solutions equations with infinite and no solutions worksheet tessshlo additional example 1c solving equations with variables on both sides find the number of solutions example 2 tell whether the equation 3x 2 7 equations with infinite and no solutions worksheet tessshlo solution in this example we can see that x has a coefficient of 1 in the second equation this indicates that it can be isolated in one step as follows image titled solve equations with variables on both sides step 13 two step equations worksheet jennarocca types of equations 2 step equations examples answers tessshlo one step equations more two step equations absolute value equation example example 1 10 example graphing to get solutions for systems s08 one more example faculty valenciacc edu