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Three times a first number decreased by a second number
- 12. The first number increased by four times the second number is - 17. Find the numbers

Respuesta :

Answer:

The two numbers are 3 and 5

Step-by-step explanation:

[tex]3X-Y=12\\X + 4Y=17\\[/tex]

Multiply top equation by 4 to cancel out the Ys

[tex]12X - 4Y = 48\\X + 4Y = 17\\\\13X = 65\\X = 5\\[/tex]

Since X =5, we can plug it into either of the top two equations to find out the value of Y

[tex]3(5) - Y = 12\\15 - Y = 12\\Y = 3[/tex]

To double check

[tex]3(5) - 3 \\15 - 3\\12\\\\5 + 4(3) \\5 + 12\\17[/tex]