the cost of 17 pens and 29 pencils is RS 219. While the cost of 29 pencils and 17 pencils is 289. Find the cost of 1 pen and 1 pencil

Let the cost of 1 pen be Rs x
Let the cost of 1 pencil be Rs y
A.T.P,
17x+29y = Rs 219→equation 1
29x+17y = Rs 289→equation 2
by elimination method,
multiply equation 1 with 29 and equation 2 with 17, we get,

493x+841y = Rs 6351
493x+289y = Rs 4913
- - -
____________________________
0 + 552y = Rs 1438
y = Rs 1438/552
y = Rs 719/276
put the value of y in equation 1, we get,
17x+29(719/276) = 219
17x+20851/276 = 219
17x = 219-20851/276
17x = 39593/276
x = (39593/276)÷17
x = 2329/276

• • x = Rs 2329/276 and y = Rs 719/276 is the solution of the given system of simultaneous linear equations.

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