Question

Plz dont answer if u dont know Standard Form.

How would I find out if its a linear equation/the A, B, and C values?

Answer 1

well, we know is linear because the exponent for both variables is "1".

now, let's bear in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

so, let's first off do away with the denominators, by multiplying both sides by the LCD of all fractions, in this case that'd be 6.

`\bf \cfrac{x+4}{2}=\cfrac{y-4}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{6}}{6\left( \cfrac{x+4}{2} \right)=6\left( \cfrac{y-4}{3} \right)}\implies 3x+12=2y-8 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 3x-2y=-20~\hfill`