What is the solution of the simultaneous equations 3x 2y 14 and 4x 3y 13?.

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23-11-2022
Mathematics

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What is the solution of the simultaneous equations 3x 2y 14 and 4x 3y 13?.

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BhavikaKukreja BhavikaKukreja · Answer 1 · 2022-11-28T20:25:20+01:00

The solution of simultaneous equations is x=4 and y = -1.

What are Simultaneous equations?

Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations.

We can solve simultaneous equations by various methods. here we will solve it by elimination method.

Here we have two simultaneous equations

3x -2y = 14 --- (i)

and 4x + 3y = 13---(ii)

Now multiplying (i) by 3 and (ii) by 2 we get

9x -6y = 42 and 8x + 6y = 26.

Now adding both we get

17x = 68 ⇒ x = 68/17 ⇒ x = 4.

Substituting the value of x in (i), we get

3*4 - 2y = 14 ⇒ -2y = 14-12 = 2 = -2/2 ⇒ y = -1.

Therefore, the values of x and y are 4 and -1 respectively .

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NOTE : The question given here is not complete. The complete question is given below.

Question: What is the solution of the simultaneous equations 3x- 2y= 14 and 4x+ 3y= 13?.