Question

If 7x - 5y = 2 and 3x + y = 4, then x=
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Answer 1

Answer:

$7x - 5y = 2 \\ \\ and \\ \\ 5(3x + y = 4)$

$7x - 5y = 2 \\ 15x + 5y = 4 \\ - - - - - - - \\ 22x \: \: \: \: \: \: \: \: \: \: \: \: \: = 6$

$x = \frac{6}{22}$

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Answer 2

Answer:

1 is the required value of x.

Step-by-step explanation:

Explanation:

Given that, 7x - 5y = 2 and 3x + y = 4

The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.

Step 1:

We have, 7x - 5y = 2 and 3x + y = 4

By elimination method,

⇒ 7x - 5y = 2

    5( 3x + y = 4)

    22x = 22

⇒ x = $\frac{22}{22}$ = 1

Now we put the value of x = 1in (i) we get,

⇒ 7 (1) - 5y = 2

⇒ 7 - 5y = 2

⇒ 7 - 2 = 5y

⇒5 = 5y

⇒y = $\frac{5}{5}$ = 1

Final answer:

Hence, value of x is 1.

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