An important and conceptual question from linear equations in two variables in which we have been asked to calculate x and y from the equations 2x-3y/4=3, 5x=2y+7
Kindly solve these equations
RS Aggarwal, class 10, chapter 3B, question no 10
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The given equation are
2x−3y/4​=3 and 5x=2y+7
Rearranging these equations we get,
8x−3y=12 …..(1)
5x−2y=7 ……(2)
multiply (1) by 2 and by 3 on subtracting we get
16x−6y=24
15x−6y=21
–Â Â Â Â Â +Â Â Â –
x  − 0=  3​
x=3
putting x=3 in (1) we get
8(3)−3y=12
24−3y=12
−3y=12−24
−3y=−12
y=−12/−3
y=4
hence x=3,y=4