The sum of 3 times a number and another number is 34. Five times the first number minus the other number is 38. What are the two numbers. The numbers are 3 and 11. The numbers are 9 and 7.

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The sum of 3 times a number and another number is 34. Five times the first number minus the other number is 38. What are the two numbers. The numbers are 3 and 11. The numbers are 9 and 7.​

Let

x -----> first number

y -----> another number

we have that

3x+y=34 -------> equation A

5x-y=38 -----> equation B

solve by elimination

Adds the equations

so

8x=72

x=72/8

x=9

substitute

3(9)+y=34

y=34-27

y=7

therefore

the numbers are 9 and 7