Question

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

Answer 1

Answer:

Answer:-

\red{\bigstar}★ The values are

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

x=2

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

y=3

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• Given:-

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

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

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• Solution:-

Firstly,

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• Multiplying eqn.[i] by 2:-

➪ \sf 3x - y = 33x−y=3

➪ \sf (3x - y = 3) \times 2(3x−y=3)×2

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

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• Subtracting eqn.[ii] from [iii]:-

➪ \sf (6x - 2y) - (5x - 2y) = 6 - 4(6x−2y)−(5x−2y)=6−4

➪ \sf 6x - 2y - 5x + 2y = 26x−2y−5x+2y=2

➪ \sf 6x - 5x = 26x−5x=2

★ \large{\bf\pink{x = 2}}x=2

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

➪ \sf 3x - y = 33x−y=3

➪ \sf 3 \times 2 - y = 33×2−y=3

➪ \sf 6 - y = 36−y=3

➪ \sf y = 6 - 3y=6−3

★ \large{\bf\pink{y = 3}}y=3

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Therefore, the values are

x = 2

y = 3

Answer 2

Answer:

x=2

y=3

Explanation:

according to question

5x-2y=4 and 3x-y=3 . these are the 2 equations that are given.

for finding the value of x put y=3x-3,

5x-2×(3x-3)=4

5x-6x+6=4

-x=4-6

-x= -2

so , x=2

now we know the value of x

put this value in 3x-y=3 equation for finding the value of x.

3(2)-y=3

6-y=3

6-3=y

3=y

so,

    the value of y=3.