Math, asked by Anonymous, 1 year ago

hey friends !!!


here is the question

answer any one.

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Answers

Answered by Anonymous
10
Hey there !!

▶ Solve by substitution method :-)

2x + 3y = 1.

2x - 4y = -24.

▶ Solution :-)

Given equation :-

=> 2x + 3y = 1.

=> 3y = 1 - 2x.

=> y =  \frac{1 - 2x}{3} ........(1).

And, 2x - 4y = -24.........(2).

=> 2x - 4  ( \frac{1 - 2x}{3} ) = -24.

=> 2x -  ( \frac{4 - 8x}{3} ) = -24.

=>  \frac{6x - 4 + 8x}{3} = -24.

=> 14x - 4 = -72.

=> 14x = -72 + 4.

=> 14x = -68.

=> x =  \frac{ - 68}{14} = \frac{ - 34}{7} .

▶ Put the value of ‘x’ in equation (1), we get

=> y =  \frac{1 - 2x}{3}

=> y =  \frac{1 - 2 ( \frac{ - 34}{7}}{3}

 = > y = \frac{1 + \frac{68}{7} }{3} .

 = > y = \frac{ \frac{7 + 68}{7} }{3} .

 = > y = \frac{ \frac{75}{7} }{3} .

 = > y = \frac{25}{7} .

✔✔ Hence, x =  \frac{ - 34}{7} . and y =  \frac{25}{7} . ✅✅

OR.

▶Solve by elimination method :-)

3x + 4y = 10.

2x - 2y = 2.

▶ Solution :-)

Given equation :-

3x + 4y = 10..........(1).

2x - 2y = 2............(2).

▶ Now, multiply equation (1) by 2 and equation (2) by 3, we get

=> 2( 3x + 4y = 10 ).

=> 6x + 8y = 20.........(3).

And,

=> 3( 2x - 2y = 2 ).

=> 6x - 6y = 6...........(4).

▶Now, Substracte in equation (3) and (4), we get

6x + 8y = 20.
6x - 6y = 6.
(-)....(+)......(-)
__________

=> 14y = 14.

=> y = 14/14.

=> y = 1.

▶ Putting the value of ‘y’ in equation (2), we get

=> 2x - 2 × 1 = 2.

=> 2x - 2 = 2.

=> 2x = 2 + 2.

=> 2x = 4.

=> x = 4/2.

=> x = 2.

✔✔ Hence, x = 2 and y = 1. ✅✅

____________________________________

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 \huge \bf{ \#BeBrainly.}

Anonymous: ♦ Magnificent ♦
Answered by aisha7211
4
Hey ...here is yr answer -------

Given;
The pair of equation;


3x + 4y = 10 .......(1)
2x - 2y = 2......(2)
(1) \times 2 = 6x + 8y = 20
(2) \times 3 = 6x  - 6y = 6
(+) (-)


14y = 14
y = 1
Now;
putting the value of y in equation (1) we get;

3x + 4y = 10
3x + 4(1)  = 10
3x = 10 - 4
3x = 6
x = 2


Therefore;
X=2
y=1



Hope; this answer is correct.
thanks

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