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Vesna [10]
3 years ago
6

4x + 3y = 26 3x - 2y=11

Mathematics
2 answers:
Nata [24]3 years ago
5 0

Step-by-step explanation:

Hey, there!!

Given,

4x + 3y = 26........(i)

3x -2y = 11............(ii)

Multiplying equation (i) by 2 and equation (ii) by 3 we get,

8x - 6y = 52

<u>9</u><u>x</u><u> </u><u> </u><u>+</u><u> </u><u>6</u><u>y</u><u> </u><u>=</u><u> </u><u>3</u><u>3</u>

17x = 85 { cancelling 6y and -6y}.

x =  \frac{85}{17}

Therefore, x= 5.

Now, putting the value of x is equation (i)

4x + 3y = 26

4×5 + 3y = 26

20 + 3y = 26

3y = 26 -20

y =  \frac{6}{3}

Therefore, y = 2.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

iris [78.8K]3 years ago
4 0

Answer:

x = 5

Step-by-step explanation:

2 (4x + 3y = 26)

3 (3x - 2y = 11)              

8x + 6y = 52

9x - 6y = 33                  [the 6y and -6y cancel out]

17x = 85                        [divide both sides by 17 to find x]

x = 5

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