Find the value of x
x+y=24
x-y=y
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Answer:
x = 16, y = 8
Step-by-step explanation:
x-y=y
x = 2y
Also, x+y=24
2y+y = 24
3y = 24
so, y = 8
x = 2y
x = 2*8 = 16
So, x = 16, y = 8
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[tex]x + y = 24 [/tex] (1)
[tex]x - y = y[/tex] (2)
By Substitution method ,
Substitute eq. 1.
[tex]x - y = y[/tex]
[tex]x = 2y[/tex] (3)
Put this value in eq. 1.
[tex]2y + y = 24[/tex]
[tex]3y = 24[/tex]
[tex]y = \frac{24}{3} [/tex]
[tex]y = 8[/tex]
Now, put the value of y in eq. 3.
[tex]x = 2 \times 8[/tex]
[tex]x = 16[/tex]
Hence , the value of x = 16 and y = 16
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