Question

(ii) 3x + 2y = 14
- x + 4y = 7 by simultaneous equations
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Answer 1

Question -

Solve the following pair of linear equations-

$3x + 2y = 14$

And,

$- x + 4y = 7$

Solution -

$3x + 2y = 14......1)$

$\implies - x + 4y = 7$

$⟹ \: - x + 4y - 7 = 0$

$⟹4y - 7 = x$

$⟹ \: x = 4y - 7......2)$

By substituting the value of x in equation 1) we will get -

$⟹3(4y - 7) + 2y = 14$

$⟹12y - 21 + 2y = 14$

$⟹14y - 21 = 14$

$⟹14y = 14 + 21$

$⟹14y = 35$

$⟹y = \frac{35}{14}$

$⟹y = \frac{5}{2}$

Now, putting the value of y in equation 2) we will get -

$\implies x = 4 \times \frac{5}{2} - 7$

$\implies x = 10 - 7$

$\implies x = 3$

Therefore the value of x is 3 and y is $\frac{5}{2}$