Question

Solve the following pair of linear equation by the substitution method

x+y=14
x-y =4​

Answer 1

Answer:

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Answer 2

$\huge \underline \mathbb \orange {ANSWER}$

$x + y = 14 \: \: \: (1) \\ \\ x - y = \: 4 \: \: (2) \\ \\ x = 4 + y \: \: (3)$

.

Substituting eq (3) in eq (1)

.

$x + y = 14 \\ 4 + y + y = 14 \\ 4 + 2y = 14 \\ 2y = 14 - 4 \\ 2y = 10 \\ y = \frac{10}{2} \\ \\ y = 5 \\ \\ \\ \\ x = 4 + y \\ x = 4 + 5 \\ \\ x = 9$

Therefore,

x = 9

y =5