Question

2. Complete the solving process algebraically. Show that the solution is indeed x = -1, y = 5

Answer 1

Explanation:

`{ \orange{ \sf{4x + \: \: y \: \: = \: \: \: 1}}}→{ \bold{ {eq}^(n) (1)}}`

`{ \orange{ \sf{4x + 8y = 36}}}→{ \bold{ {eq}^(n) (2)}}`

`{ \red{ \sf{( - ) \: \: ( - ) \: \: ( - )}}}`

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`{ \orange{ \sf{ \: \: \: \: - 7y = - 35}}}`

`{ \orange{ \sf{y = ( - 35)/( - 7)}}}`

`{ \orange{ \sf{y = 5}}}`

Substitute the value of y in Eqⁿ (1)

`{ \red{ \sf{4x + 5 = 1}}}`

`{ \red{ \sf{4x = 1 - 5}}}`

`{ \red{ \sf{4x = - 4}}}`

`{ \red{ \sf{x = - (4)/(4)}}}`

`{ \red{ \sf{x = -1}}}`