Question

Write the equation in the form ax + by + c = 0 and indicate the value of a, b, c in case
x/3 - y/2 = 5. ​

Answer 1

$\large\sf\underline{Question}$

• $\sf\:\frac{x}{3}- \frac{y}{2} = 5$

$\large\sf\underline{To\:do}$

• Express it in the form ax + by + c = 0

• To indicate the value of a, b and c

$\large\sf\underline{Solution}$

$\sf\:\frac{x}{3}- \frac{y}{2} = 5$

$\sf⟹\:\frac{2x-3y}{6} = 5$

$\sf⟹\:2x-3y= 5 \times 6$

$\sf⟹\:2x-3y= 30$

$\tt\red{⟹\:2x-3y-30= 0}$

So here, 2x - 3y - 30 = 0 is the required ax + by + c = 0 form of the given equation.

$\sf\:Comparing\:2x-3y-30=0\:with\:ax+by+c=0\:we\:get$

$\tt\red{a = 2 }$

$\tt\red{b = ( - 3 ) }$

$\tt\red{ c = ( - 30 ) }$

• Hope u understand ❣

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