Question

2/a+3/b=2 and 4/a -9/y=-1​

Answer 1

$\huge{\mathcal{\blue{\underline{\underline{\pink{HeYa!!!}}}}}}$

${\huge{\purple{\mathbb{\bold{ANSWER}}}}}$

${\large{\orange{\boxed{\bold{a\:=\:2.}}}}}$

${\large{\orange{\boxed{\bold{b\:=\:3.}}}}}$

$<marquee>Explanation</marquee>$

${\large{\blue{\bold{\underline{Given:-}}}}}$

▪︎ 2/a + 3/b = 2.

▪︎ 4/a - 9/b = -1.

${\large{\blue{\bold{\underline{Now,}}}}}$

▪︎ Let 1/a be x and 1/b be y.

By putting the values in given equations we get,

=》 2x + 3y = 2. ---(1)

=》 4x - 9y = -1. ---(2)

● By Multiplying eq(1) by 2 we get,

=》 2{2x + 3y = 2}

=》 4x + 6y = 4. ---(3)

${\large{\blue{\bold{\underline{Now,}}}}}$

▪︎ By subtracting eq(2) from eq(3) we get,

=》 (4x+6y) - (4x-9y) = 4-(-1).

=》 4x+6y-4x+9y = 4+1.

=》 6y+9y = 5.

=》 15y = 5.

=》 y = 5/15.

${\large{\red{\boxed{\bold{=》\:y\:=\:1/3}}}}}$

${\large{\blue{\bold{\underline{So,}}}}}$

▪︎ By putting the value of y in eq(3) we get,

=》 4x + 6(1/3) = 4.

=》 4x + 2 = 4.

=》 4x = 4-2.

=》 4x = 2.

=》 x = 2/4.

${\large{\red{\boxed{\bold{=》\:x\:=\:1/2.}}}}}$

${\large{\blue{\bold{\underline{Also,}}}}}$

=》 x = 1/a.

=》 1/2 = 1/a.

${\large{\green{\boxed{\bold{=》\:a\:=\:2.}}}}}$

▪︎ And,

=》 y = 1/b

=》 1/3 = 1/b

${\large{\green{\boxed{\bold{=》\:b\:=\:3.}}}}}$

Therefore

▪︎ The required value of a is 2.

▪︎ The required value of b is 3.

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$<marquee>✌✌THANKS✌✌</marquee>$