Please solve this question!

Mathematics

1 answer:

iris [78.8K]3 years ago

8 0

Answer: smaller number = 5, bigger number = 8

Step-by-step explanation:

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 ) → 15x - 6y = 27

19x = 95

÷19 ÷19

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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