Question

Solve-: 97x - 78y = 59, 78x - 97y = 116

Answer 1

Answer:

Step-by-step explanation:

Given:

97x - 78y = 59, 78x - 97y = 116 solve the following simultanoeus equation.

Calculations:

→ 97x - 78y = 59 – Equation (i)

→ 78x - 97y = 119 – Equation (ii)

Adding both equation, we get:

97x - 78y = 59

(+) 78x - 97y = 116

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175x - 175y = 175

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→ 175 (x - y) = 175

→ x - y = 1 – Equation (iii)

Subtracting equation (i) & (ii), we get:

97x - 78y = 59

(–) 78x - 97y = 116

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19x - 19y = - 57

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→ 19 (x + y) = - 57

→ x + y = - 3 – Equation (iv)

Adding equation (iii) & (iv), we get:

x - y = 1

+ x + y = - 3

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2x = - 2

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→ x = - 2/2 = 1

→ x = y = 1

→ 1 - y = 1

→ - y = 1 - 1 = 0

→ y = 0

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