Question

Find x and y by elimination
method
X/2-y/9=6,
X/7+y/3=5
​

Answer 1

Answer:

x = 10

x = 10y = 9

Step-by-step explanation:

x/2 - y/9 = 6 -------- 1

x/7 + y/3 = 5 ------- 2

By taking LCM, solving 1 st equation

9x - 2y/18 = 6

9x-2y = 108 -------3.

By taking LCM, solving 2nd equation

3x + 7y/21 = 5

3x + 7y = 105 ------- 4

now solve equation. 3 and 4 by elimination method

9x - 2y = 108

(-) (-) (-)

9x + 21y = 315 { 3x +7y = 105 (×3)}

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-23y = -207

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y = 9

sub y = 9 in equation 3

9x - 2(9) = 108

9x -18 = 108

9x = 108+18

9x = 126

x = 14

Therefore by solving x = 10, Y = 9