Question

x+y=360, 2x-2y=80, find the value of x and y? ​

Answer 1

Answer:

x = 200, y = 160

Step-by-step explanation:

Given : x + y = 360 ...(i)

2x - 2y = 80 ...(ii)

Solving (ii) further, we get

2(x - y) = 80

x - y = 80/2

x - y = 40 ...(iii)

Adding (i) & (iii), we get

→ 2x = 400

→ x = 400/2

→ x = 200

Put this value in (i), we get

→ 200 + y = 360

→ y = 360 - 200

→ y = 160

Answer 2

x+y = 360 ; x = 360 - y (By substitution)

Put y's value in 2x - 2y = 80

$2(360 - y) - 2y = 80 \\ \\ 720 - 2y - 2y = 80 \\ \\ - 4y = 80 - 720 \\ \\ 4y = 640 \\ \\ y = \frac{640}{4} \\ \\ y = 160 \\ \\ now \: put \: y = 160 \: in \:</strong><strong> </strong><strong> x + y = 360 \\ \\ x + 160 = 360 \\ \\ x = 360 - 160 \\ \\ x = 200$

Hence, the value of x is 200 and y is 160

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