The sum of chris and mike’s scores on a math quiz is 39. mike’s score is twice the sum of chris’ score and 3. find each student’s quiz score.

c=11, m=28

Step-by-step explanation:

c= Chris's score

m= Mike's score

c+m=39                 we know from the equation that their scores

                              add up to 39, so this equation is a good starting

                              point.

c+2(c+3)=39          we also know that Mike's score is twice the sum of Chris's

                              score and 3 so we can substitute that in for his score.

                              now we can solve.

c+2c+6=39             distribute

3c+6=39                 combine like terms

   -6  -6                  

3c=33                     addition property of equality

÷3  ÷3          

c=11                         multiplication property of equality

Now that we know Chris's score, we simply substitute that number in in our simple equation for earlier to find Mike's score.

11+m=39                  substituted in 11 for c

-11     -11                  

m=28                       addition property of equality

There you go! Don't worry, I had a lot of trouble with these types of problems too. That's why I'm so good at them now Hope this helps!

I put it in the calc and it got

x=5i,−5i