Answer:
First number x = -0.6
Second number y = 18.66
Step-by-step explanation:
Let the first number = x
and Second number = y
Sum of two numbers is 18. We can write it in mathematical expression as:
[tex]x+y=18[/tex]
5 times the number subtracted from 4 over 7 of the second number is 14. We can write it in mathematical expression as:
[tex]\frac{4}{7}y-5x=14[/tex]
So, solving the equations simultaneously we can find value of x and y
Let:
[tex]x+y=18--eq(1)\\\frac{4}{7}y-5x=14--eq(2)[/tex]
Finding value of x from equation 1 and put it in eq(2)
[tex]x+y=18\\x=18-y[/tex]
Put in equation 2
[tex]\frac{4}{7}y-5(18-y)=14\\\frac{4}{7}y-90+5y=14\\\frac{4y-90*7+5y*7}{7}=14\\ \frac{4y-90*7+5y*7}{7}=14\\ \frac{4y-630+35y}{7}=14\\ \frac{39y-630}{7}=14\\39y-630=14*7\\39y-630=98\\39y=98+630\\39y=728\\y=18.66[/tex]
So, Value of y= 18.66
Now finding value of x, By putting value of y in eq(1)
[tex]x+y=18\\18.66+x=18\\x=18-18.66\\x=-0.6[/tex]
So, First number x = -0.6
Second number y = 18.66
