Question

solve the following pair of linear equations by suitable method. 3x-y=3 and 5x-2y=4​

Answer 1

Answer:

Hello Sir You will get u r answer here only

Step-by-step explanation:

3x-y=3 (1)

5x-2y=4 (2)

Multiple equation 1 by 2 and equation 2 by 1

6x-2y=6

5x-2y=4

Now subtract these equations.

x=2

Therefore y = 6-12/-2

y = -6/-2 = 3

Your answer is x = 2 and y = 3.

Answer 2

Answer:-

$\red{\bigstar}$ The values are

$\large\leadsto\boxed{\tt\purple{x = 2}}$

$\large\leadsto\boxed{\tt\purple{y = 3}}$

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• Given:-

• $\sf 3x - y = 3 \dashrightarrow\bf\red{[eqn.i]}$

• $\sf 5x - 2y = 4 \dashrightarrow\bf\red{[eqn.ii]}$

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• Solution:-

Firstly,

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• Multiplying eqn.[i] by 2:-

➪ $\sf 3x - y = 3$

➪ $\sf (3x - y = 3) \times 2$

➪ $\sf 6x - 2y = 6 \dashrightarrow\bf\red{[eqn.iii]}$

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• Subtracting eqn.[ii] from [iii]:-

➪ $\sf (6x - 2y) - (5x - 2y) = 6 - 4$

➪ $\sf 6x - 2y - 5x + 2y = 2$

➪ $\sf 6x - 5x = 2$

★ $\large{\bf\pink{x = 2}}$

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• Substituting value of x in eqn.[i]:-

➪ $\sf 3x - y = 3$

➪ $\sf 3 \times 2 - y = 3$

➪ $\sf 6 - y = 3$

➪ $\sf y = 6 - 3$

★ $\large{\bf\pink{y = 3}}$

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Therefore, the values are

• x = 2

• y = 3