Solve for x and y 37x+43y=123 …

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Solve for x and y 37x+43y=123 43x+ 37y=117

Posted by Stephee Sam 6 years, 5 months ago

CBSE > Class 10 > Mathematics

5 answers

Yogita Ingle 6 years, 5 months ago

37x + 43y = 123 ……..(1)

43x + 37y = 117 ……..(2)

Adding (1) and (2)

80x + 80y = 240

80(x + y) = 240

x + y = 240/80<amp-mathml data-formula="

$\frac{240}{80}$ " inline="" layout="container"></amp-mathml> = 3 ……..(3)

Subtracting (1) from (2),

6x – 6y = -6

6(x – y) = -6

x – y = −6/6<amp-mathml data-formula="

$\frac{-6}{6}$ " inline="" layout="container"></amp-mathml> = -1 ……..(4)

Adding (3) and (4)

2x = 3 – 1 = 2

⇒<amp-mathml data-formula="

$\Rightarrow$ " inline="" layout="container"></amp-mathml> x = 1

Subtracting (4) from (3)

2y = 3 + 1 = 4

⇒<amp-mathml data-formula="

$\Rightarrow$ " inline="" layout="container"></amp-mathml> y = 2

Hence, solution is x = 1, y = 2

3Thank You

Shivam Sharma 6 years, 5 months ago

Try with elimination method

2Thank You

Aakash Gandhi 6 years, 5 months ago

Ans 1 and 2

2Thank You

Aakash Gandhi 6 years, 5 months ago

This will be done by addition and subtraction

2Thank You

Akshat Goyal 6 years, 5 months ago

1&2

3Thank You

ANSWER

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