Respuesta :

Answer:

x=−3/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

435=−4x+285

Step 2: Flip the equation.

−4x+285=435

Step 3: Subtract 28/5 from both sides.

−4x+285−285=435−285

−4x=3

Step 4: Divide both sides by -4.

−4x−4=3−4

x=−34

skzmakemestay

Answer:

as a decimal: [tex]x=-0.75[/tex]

as a fraction: [tex]x=-\frac{3}{4}[/tex]

Step-by-step explanation:

note: i'm going to convert the fractions to decimals because i prefer working with decimals rather than fractions :)

  • [tex]8\frac{3}{5}[/tex] as a decimal is [tex]8.6[/tex]
  • [tex]5\frac{3}{5}[/tex] as a decimal is [tex]5.6[/tex]
  • the equation is now [tex]8.6=-4x+5.6[/tex]

first, subtract 5.6 from both sides of the equation.

  • [tex]5.6[/tex] and [tex]-5.6[/tex] cancel each other out, leaving you with [tex]-4x+0[/tex] on the right side of the equation. it's not necessary to leave the [tex]0[/tex] in the equation, so just leave it as [tex]8.6=-4x[/tex]
  • now subtract [tex]5.6[/tex] from the left side of the equation. [tex]8.6-5.6=3[/tex], therefore the equation is now [tex]3=-4x[/tex]

then divide both sides of the equation by -4.

  • you are left with [tex]x[/tex] on the right side of the equation and [tex]-\frac{3}{4}[/tex] or [tex]-0.75[/tex] on the left side of the equation, aka [tex]x=-0.75[/tex] or [tex]x=-\frac{3}{4}[/tex]

and that's it! the solution as a fraction is [tex]x=-\frac{3}{4}[/tex] and as a decimal is [tex]x=-0.75[/tex].

if you want to check the solution, just plug one of those values in for [tex]x[/tex] in the original equation. since i converted it all to decimals, i'll check my answer using [tex]-0.75[/tex] for [tex]x[/tex] in [tex]8.6=-4x+5.6[/tex].

first, plug in -0.75 for x.

  • [tex]8.6=-4x+5.6[/tex] ⇒ [tex]8.6=-4(-0.75)+5.6[/tex]

begin simplifying by multiplying -4 and -0.75.

  • [tex]-4(-0.75) = 3[/tex]
  • [tex]8.6=3+5.6[/tex]

add 3 and 5.6.

  • [tex]3+5.6=8.6[/tex]
  • [tex]8.6=8.6[/tex]

since both sides of the equation are equal, that means your [tex]x[/tex] value is correct and therefore a solution to the equation!! :)

i hope this helped! have a lovely rest of your day <3

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