Substitution Method to solve linear simultaneous equation

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SUMMARY

The discussion focuses on solving linear simultaneous equations using the substitution method. The user transformed the equations into a common denominator format, resulting in the equations 5y - 5x = 1 and 5y + 2x = 5. After substituting and simplifying, the user calculated x = 4/7, while expecting x = 0. A suggestion was made to multiply the first equation by 6 and simplify to obtain y - 5x = 1 for further clarity.

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Yazan975
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View attachment 8419

What I have done:

I changed all fractions to common denom and that gave me

5y-5x=1 (1) *I numbered the fractions
5y+2x=5 (2)

Then: 5y=5-2x

Substitute into equation 1
(5-2x)-5x=1
5-7x=1
x=4/7

Thing is my answer says I should be getting x=0

Any hints?
 

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When you multiply the first equation by $6$ and simplify, you should get $y-5x=1$.
 

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