Question

Find the value of 'a' such that the equation 5x + y = 8 may have (3,-2) as a solution.

Fast fast lol thanks

Answer 1

5x + ay = 8

Substituting (3,-2) we get

5×3 - 2a = 8

-2a = -7

a = 7/2

Answer 2

$\displaystyle\huge\pink{\underline{\underline{Answer}}}$

$\huge\sf\underline\orange{Given:-}$

• Equation 5x + ay = 8
• It's solution might be ( 3, - 2 )

$\huge\sf\underline\purple{Solution:-}$

Given is that 3 is the value of x and -2 of y .

So now let's substitute it in the given equation 5x + ay = 8 .

$\implies\:5(3)\:+\:a(-2)\:=\:8$

$\implies\:15\:-\:2a\:=\:8$

$\implies\:-\:2a\:=\:8\:-\:15$

$\implies\:-2a\:=\:-7$

$\implies\:a\:=\:\dfrac{7}{2}$

$\displaystyle\huge\green{\underline{\underline{Exploring\:more}}}$

$\sf\underline\purple{What \:is\: a\: equation\: ?}$

In simple words equation is a mathematical statement that has two equal sides that is left hand side is equals to right hand side .

$\sf\underline\red{How\: many\: solutions\: can\: an \:equation \:have \:?}$

An equation can have infinity solutions if its coordinates on graph pass through a straight line . i . e in case of a linear equation