Question

What equation is equivalent to x=2+4y-5 ?

Answer 1

$Equation \ x=2+4y-5 \ is \ equivalente \ to \ y=\frac{1}{4}x+\frac{3}{4}$

Explanation:

Here we have the following equation:

$x=2+4y-5$

So x is written as a function of y. This is the equation of a line, so we'll write an equivalent equation  in Slope intercept form. Hence:

Step 1. Add 2 and -5

$x=2+4y-5 \\ \\ x=4y-3$

Step 2. Add 3 to both sides

$x+3=4y-3+3 \\ \\ 4y=x+3$

Step 3. Divide both sides by 4

$\frac{4y}{4}=\frac{x+3}{4} \\ \\ y=\frac{1}{4}x+\frac{3}{4}$

So finally:

$Equation \ x=2+4y-5 \ is \ equivalente \ to \ y=\frac{1}{4}x+\frac{3}{4}$

Learn more:

Linear equations: https://brainly.com/question/12169569

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