Question

7. Solve the following pair of linear equations
3x + 2y = 11
5x- 2 = 13.​

Answer 1

Answer:

5x-2=13 x=5

3×5+2y=11 15+2y =11

y =-2

Answer 2

Step-by-step explanation:

$\bf \underline{Question} \:$

7. Solve the following pair of linear equations

3x + 2y = 11

5x- 2 = 13.

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$\bf \underline{Solution\to} \:$

$\bf \underline{Given\to} \:$

• 3x + 2y = 11 Equ. .....(1)

• 5x - 2y = 13 Equ. .......(2)

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$\bf \underline{To..Find\to} \:$

• The values of x and y = ?

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$\bf \: Adding \: equations \: (1) and \: (2),$

$\bf \: putting \: all \: values$

$\tt \to \: 3x + 2y + 5x - 2y = 11 + 13$

$\\ \bf \:\to on \: solving$

$\tt \: \to 3x + 5x = 24$

$\tt. \to 8x = 24$

$\tt \: x = \dfrac{24}{8}$

$\tt \to\red{x = 3} \\ \:$

$\tt \to\: Puttiing \: the \: value \: of \: x$

$\tt\to. = 3 \: in \: equation \: (1), \:$

$\\ \bf\to \:3(3) + 2y = 11$

$\\ \bf\to \: on \: multiplying \:$

$\tt \to\: 9 + 2y = 11$

$\tt \to\: 2y = 11 - 9 = 2$

$\tt \to\red {y = 1}$

$\tt\ \therefore \red{x = 3 \: and \: y = 1}$