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?

  129 points

Step-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 altogether

Add 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 3

Luke scored 129 points.

Comment on the solution

Normally, 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 . . . . simplify

Adding 2L and dividing by 3 gets the same result as above.

is only a line? i think so

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3