solve the pair of equations by method of elimination x/5–y/3 = 4/15 , x/2–x/9=7/18
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Given equations are
x/5 - y/3 = 4/15 ...(i)
x/2 - y/9 = 7/18 ...(ii)
Now, multiplying (i) by (1/2) and (ii) by (1/5), we get
x/10 - y/6 = 2/15
x/10 - y/45 = 7/90
On subtraction, we get
13y/90 = - 1/18
or, y = - 5/13
Now, putting y = - 5/13 in (i), we get
x/5 - (- 5/13)/3 = 4/15
or, x/5 = 4/15 - 5/39
or, x/5 = 9/65
or, x = 9/13
Therefore, the required solution be
x = 9/13 and y = - 5/13
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