Question

Solve this question

$53x + 47y = 271$
$47x + 53y = 229$

​

Answer 1

Answer:

the correct ans for ur QUESTION is x=6and y=-1

Step-by-step explanation:

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Answer 2

Answer:

$\mathtt\purple{SOLUTION:-}$

$\mathtt{53x + 47y = 271---EQ(i)}$

$\mathtt{47x + 53y = 229---EQ(ii)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt\purple{ADD \: EQUATION \: (i) and (ii)}$

$\mathtt{100x+100y=500}$

$\mathtt\purple{DIVIDE \: BY \: 100}$

$\mathtt{x+y=5-----EQ(iii)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt \purple{SUBTRACT \: EQUATION \: (i) and (ii)}$

$\mathtt{6x-6y=42}$

$\mathtt\purple{DIVIDE \: BY \: 6}$

$\mathtt{x-y=7------EQ(iv)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt\purple{BY \: USING \: ELIMINATION \: METHOD}$

$\mathtt{x+y=5}$

$\mathtt{x-y=7}$

$\mathtt{2x=12}$

$\mathtt{x=\frac{12}{2}}$

$\mathtt{x=6}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt{x+y=5}$

$\mathtt{6+y=5}$

$\mathtt{y=-1}$