Answer:
The pair of number is x=3 and y = 2
Step-by-step explanation:
Given:
6X plus Y equals 20
X equals 2Y -1
To Find:
The number X and Y
Solution:
6X plus Y equals 20 can be written as
[tex]6x+y =20[/tex]------------------(1)
X equals 2Y -1 can be written as
[tex]x =2y-1[/tex]
[tex]x -2y = -1[/tex]-------------------(2)
Now lets solve equation (1) and (2)
multilply [tex]6x+y =20[/tex] by 2 , we get
[tex]12x+2y =40[/tex]-------------------(3)
Adding (2) and (3)
[tex]x -2y = -1[/tex]
[tex]12x+2y =40[/tex]
------------------------------
[tex]13x =39[/tex]
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[tex]x =\frac{39}{13}[/tex]
x =3
Substitute x = 3 in eq(2)
[tex]3-2y = -1[/tex]
[tex] -2y = -1-3[/tex]
[tex]-2y = -4[/tex]
[tex]y = \frac{-4}{-2}[/tex]
y = 2
