Solve the following system of equations algebraically: 30x + 44y = 10; 40x + 55y = 13... | VSA 2m | Maths | SuperPadhai

Linear Equations > Question

VSA2 marksYear: 2025MediumCBSE Class 10

linear-equationselimination-method

Question

Solve the following system of equations algebraically:

30 x + 44 y = 10

;

40 x + 55 y = 13

Solution

1

Rewriting:

120 x + 176 y = 40

... (i) and

120 x + 165 y = 39

... (ii)

+1 mark

2

Subtracting:

11 y = 1 \Rightarrow y = \frac{1}{11}

+0.5 marks

3

Substituting:

x = \frac{1}{5}

+0.5 marks

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