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Inessa [10]
3 years ago
8

Please solve this question!​

Mathematics
1 answer:
iris [78.8K]3 years ago
8 0

Answer: smaller number = 5, bigger number = 8

<u>Step-by-step explanation:</u>

Let x represent the smaller number

and y represent the bigger number.

The sum of 2 times the smaller number and 3 times the bigger number is 34.

EQ1: 2x + 3y = 34

Two times the bigger number is subtracted from 5 times the smaller number is 9.

EQ2: 5x - 2y = 9

Solve the system of equations using the Elimination method:

EQ1: 2x + 3y = 34      →   2(2x + 3y = 34)     →   4x + 6y = 68

EQ2: 5x - 2y = 9       →    3(5x - 2y = 9 )      →  <u> 15x - 6y</u> = <u>27 </u>

                                                                         19x         = 95

                                                                      <u> ÷19          </u>  <u>÷19 </u>

                                                                                  x =  5

Substitute x = 5 into either equation to solve for y:

EQ2: 5x - 2y = 9

      5(5) - 2y = 9

        25 - 2y = 9

              -2y = -16  

                  y =  8

The smaller number (x) is 5 and the bigger number (y) is 8.

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