Math, asked by unaisaumar8, 28 days ago

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Answers

Answered by mostak4
1

Answer:

The equation will be X = 5, Y = -3

Explain:

3×5-2×(-3) = 21

4×5+3×(-3) = 11

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Answered by BrainlyTwinklingstar
3

Answer

\sf \dashrightarrow 3x - 2y = 21 \: \: --- (i)

\sf \dashrightarrow 4x + 3y = 11 \: \: --- (ii)

By first equation,

\sf \dashrightarrow 3x - 2y = 21

\sf \dashrightarrow 3x = 21 + 2y

\sf \dashrightarrow x = \dfrac{21 + 2y}{3}

Now, we can find the value of y by second equation.

\sf \dashrightarrow 4x + 3y = 11

\sf \dashrightarrow 4 \bigg( \dfrac{21 + 2y}{3} \bigg) + 3y = 11

\sf \dashrightarrow \dfrac{84 + 8y}{3} + 3y = 11

\sf \dashrightarrow \dfrac{84 + 8y + 9y}{3} = 11

\sf \dashrightarrow \dfrac{84 + 17y}{3} = 11

\sf \dashrightarrow 84 + 17y = 11 \times 3

\sf \dashrightarrow 84 + 17y = 33

\sf \dashrightarrow 17y = 33 - 84

\sf \dashrightarrow 17y = -51

\sf \dashrightarrow y = \dfrac{-51}{17}

\sf \dashrightarrow y = -3

Now, we can find the value of x by first equation.

\sf \dashrightarrow 3x - 2y = 21

\sf \dashrightarrow 3x - 2(-3) = 21

\sf \dashrightarrow 3x + 6 = 21

\sf \dashrightarrow 3x = 21 - 6

\sf \dashrightarrow 3x = 15

\sf \dashrightarrow x = \dfrac{15}{3}

\sf \dashrightarrow x = 5

Hence, the values of x and y are -3 and 5 respectively.

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