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Mathematics 20 Online
OpenStudy (jaylokss):

Help

OpenStudy (jaylokss):

jimthompson5910 (jim_thompson5910):

Notice in the first equation we have the constant term -17 In the second equation, we have the constant term -102 Fill in the blank -17 times ____________ = -102 what must go in the blank?

OpenStudy (jaylokss):

6 @jim_thompson5910

OpenStudy (jaylokss):

Now what

jimthompson5910 (jim_thompson5910):

6 is correct

jimthompson5910 (jim_thompson5910):

so what is going on is you'll multiply both sides of \(\Large 2x+3y = -17\) by 6 to get \[\Large 2x+3y = -17\] \[\Large 6*(2x+3y) = 6*(-17)\] \[\Large 6*(2x)+6*(3y) = 6*(-17)\] \[\Large 12x+18y = -102\] Do you see what to do next?

OpenStudy (jaylokss):

Not really..

jimthompson5910 (jim_thompson5910):

subtract 12x from both sides

jimthompson5910 (jim_thompson5910):

\[\Large 12x+18y = -102\] \[\Large 12x+18y-12x = -102-12x\] \[\Large 18y = -12x-102\]

OpenStudy (jaylokss):

So is that the solution?

jimthompson5910 (jim_thompson5910):

yes, just fill in the boxes with the coefficients you see in front of y and x

OpenStudy (jaylokss):

I get it thank you

jimthompson5910 (jim_thompson5910):

no problem

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