Respuesta :

Space

Answer:

[tex]r=\frac{q-ps}{p}[/tex]

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Equality Properties
  • Distributive Property

Step-by-step explanation:

Step 1: Define equation

[tex]q=p(r+s)[/tex]

Step 2: Solve for r

  1. Distribute p:                              [tex]q=pr+ps[/tex]
  2. Subtract ps on both sides:       [tex]q-ps=pr[/tex]
  3. Divide both sides by p:            [tex]\frac{q-ps}{p} =r[/tex]
  4. Rewrite:                                     [tex]r=\frac{q-ps}{p}[/tex]
TheBlueFox

Step-by-step explanation: To solve for r, start by distributing the p

through the parentheses on the left side to get q = pr + ps.

Next, isolate the r term by subtracting ps from both sides to get -ps + q = pr.

Finally, to get r by itself, divide both sides by p and we have -ps + q/p = r.

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