Question

Amanda found the equation 10x+5y=20 in the “linear equations” chapter of her math book.

Answer 1

All possibilities were discussed in order to write the required linear equation.

The given linear equation is:

$10x+5y=20$

What is a linear equation?

An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R

For a unique solution, we need an equation ax+by+c=0 such that

$\frac{10}{a} \neq \frac{5}{b}$

For infinitely many solutions, we need an equation ax+by+c=0 such that

$\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}$

Hence, all possibilities were discussed in order to write the required linear equation.

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