Caleb and luke are playing a video game. Luke has scored fifteen less than twice the number of points caleb has. If they have scored 201 points altogether, how many has luke scored?

Answer:   129 pointsStep-by-step explanation:Let L and C represent the scores of Luke and Caleb, respectively.   L = 2C -15 . . . . . Luke scored 15 less than twice the number Caleb did   L +C = 201 . . . . . they scored 201 points altogetherAdd twice the second equation to the first:   2(L +C) + (L) = 2(201) + (2C -15)   3L +2C = 387 +2C . . . . simplify   3L = 387 . . . . . . . . . . . . .subtract 2C   L = 387/3 = 129 . . . . . . .divide by 3Luke scored 129 points._____Comment on the solutionNormally, you might solve this set of equations by substitution, since you have an expression for L in terms of C. Doing that would give a value for C, and an extra step would be required to find L. We wanted to avoid the step of finding C, since that was not a value we needed to know.You could also substitute 201-L for C, which is effectively what we did. After substitution, that equation looks like ...   L = 2(201-L) -15   L = -2L +387 . . . . simplifyAdding 2L and dividing by 3 gets the same result as above.