Answer:
Required numbers are x = -0.5 and y =18.6
Step-by-step explanation:
Let the two numbers be x and y
Their sum is 18 i.e x+y= 18
4/7y-5x= 14
We need to find the numbers x and y
Solving both equations to find value of x and y
[tex]x+y= 18 ----(1)\\\frac{4}{7} y-5x= 14 ------(2)[/tex]
From equation 1 we can find value of x and put in equation 2 i.e
x=18-y
Putting the value of x in equation 2
[tex]\frac{4}{7}y-5(18-y)=14\\Solving:\\\\\frac{4}{7}y-90+5y=14\\\frac{4y-90*7+5*7y}{7}=14\\ \frac{4y-630+35y}{7}=14\\4y+35y-630=14*7\\39y=98+630\\y=728/39\\y=18.6[/tex]
Now finding x
[tex]x=18-y\\x=18-18.6\\x=-0.5[/tex]
So, Required numbers are x = -0.5 and y =18.6
