Question

Solve x/2 -y/5=4, x/7 +y/15=3 by elimination method

Answer 1

Answer:

Here is the answer and value of x and y .

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Answer 2

Solutions x = 14 and y = 15

Given:

x/2 -y/5=4  and x/7 +y/15=3 by

To find:

Solve the equations by elimination method  

Solution:

Given x/2 -y/5=4  

⇒ (5x - 2y)/10 = 4

⇒ 5x - 2y = 40 -----(1)

x/7 +y/15 = 3  

⇒ (15x +7y)/105 = 3

⇒ 15x + 7y = 315 -----(2)

7×(1) = 35x - 14y = 280 ----(3)

2×(2) = 30x +14y = 630 ------(4)

Now add (3) and (4)

⇒ 35x - 14y +30x +14y  = 280 + 630

⇒ 65x = 910  

⇒ x = 14  

Substitute x = 14 in (1)

⇒  5(14) - 2y = 40

⇒  70 - 2y = 40

⇒  2y = 30

⇒  y = 15

Therefore, solutions x = 14 and y = 15

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