solve the following pair of linear equations by elimination and substitution method(15x-8y=29) (17x+12y=75)
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Answer:
Elimination Method
15x-8y=29...(1)
17x+12y=75...(2)
Multiplying by 17 in the 1st equation
17(15x-8y=29)
255x-136y=493...(3)
Multiplying by 15 in the 2nd equation
15(17x+12y=75)
255x+180y= 1125...(4)
Subtracting equation (4) from (3)
255x-136y=493
255x+180y=1125
(-) (-) (-)
______________
-316y=-632
______________
Hence, y=(-632/-316)
Hence, y=2
Substituting y=2 in equation (1)... we get...
15x-16=29
15x=45
x=3
Hence x=3 & y=2 is the solution for the given equation...
HOPE IT HELPS....
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