In the following question two equations are given in variables x and y. You have to solve these equations and determine relation between x and y. I. 30x + 7y = 50 II. 420x + 91y = 560
In the following question two equations are given in variables x and y. You have to solve these equations and determine relation between x and y.
I. 30x + 7y = 50
II. 420x + 91y = 560
1). x > y
2). x < y
3). x ≥ y
4). x ≤ y
1 answers
I. 30x + 7y = 50 ------(1)
Multiplying this equation with 14 on both sides, we get
⇒ 420x + 98y = 700 ------(2)
II. 420x + 91y = 560 ----(3)
Subtracting equation 3 from equation 2, we get,
(420x – 420x ) + (98y – 91y) = (700 – 560)
7y = 140
Then, y = 20 ------(4)
Substituting equation 4 in equation 1, we get,
30x + 7 × 20 = 50
⇒ 30x = 50 - 140
⇒ 30x = - 90
⇒ x = - 3
So, when x = - 3, x < y for y = 20
∴ So, we can observe that x < y.
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