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Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232 12x + 7y = 218

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232 12x + 7y = 218
asked 164k views
1 vote
Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together?

5x + 13y = 232
12x + 7y = 218

asked
User Abdulhakim Zeinu
by
7.9k points

2 Answers

4 votes
You can start off by distributing the x-variables and using the LCM of 5 and 12

5 = 5x1
12= 2x2x3

LCM: 1x2x2x3x5= 60

We could also determine the LCM of 13 and 7 (y-variables), since they are both prime numbers.

13x7= 91

The LCM is 91.
answered
User Miikes
by
8.5k points
2 votes

The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.

answered
User Violin Yanev
by
8.3k points
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