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]