Question

Solve the system of linear equations by substitution

y-x=0
2x-5y=9


(Please explain the steps in order)
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Answer 1

`y - x = 0 ...equation 1`

`2x - 5y = 9 \: ...equation \: 2`
working with equation 1

`y = x \: ...equation \: 3`
next subsitue equation 3 in equation 1

`2x - 5(x) = 9`

`2x - 5x = 9`

`- 3x = 9`
divide by -3

`x = - 3`
substitute x= -3 in equation 1

`y - ( - 3) = 0`

`-(-3) = + 3`

`y = - 3`