Question

Please solve the system of equations!!

Answer 1

`\bf \dagger \: To \: find`

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• Value of x

• Value of y

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`\bf \dagger \: Given`

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• x = y - 4

• - 10 x + 3y = 5

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`\bf \dagger \: Solution`

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`\dashrightarrow \sf - 10 x + 3y = 5`

Put value of x I.e y - 4 in the equation

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`\dashrightarrow \sf - 10(y - 4) + 3y = 5`

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`\dashrightarrow \sf - 10y + 40 + 3y = 5`

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`\dashrightarrow \sf - 10y+ 3y + 40 = 5`

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`\dashrightarrow \sf -7y + 40 = 5`

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`\dashrightarrow \sf -7y = 5 - 40`

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`\dashrightarrow \sf -7y = - 35`

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`\dashrightarrow \sf \cancel-7y = \cancel - 35`

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`\dashrightarrow \sf 7y = 35`

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`\dashrightarrow \sf y = (35)/(7)`

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`\dashrightarrow \boxed{\sf y = 5} \star`

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Now Let's find value of x.

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Put value of y I equation: x = y -4

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`\dashrightarrow \sf x = y - 4`

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`\dashrightarrow \sf x = 5 - 4`

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`\dashrightarrow \boxed{\sf \: x = 1} \star`

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.°. value of x and y = 1 and 5 respectively