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1. what is the first step when solving equations? 2. circle the equatio…

Question

  1. what is the first step when solving equations?
  2. circle the equation below that is the \body guard\
  3. solve the equations below. show all your algebraic work. circle your answer!
  4. $\frac{x}{5}=-12$
  5. $52 = 4x$
  6. $-p + 43 = 66$
  7. $-35=\frac{w}{3}$

Explanation:

Step1: Solve $\frac{x}{5}=-12$

Multiply both sides by 5: $x=-12\times5$

Step2: Calculate $-12\times5$

$x = - 60$

Step3: Solve $52 = 4x$

Divide both sides by 4: $x=\frac{52}{4}$

Step4: Calculate $\frac{52}{4}$

$x = 13$

Step5: Solve $-p + 43=66$

Subtract 43 from both sides: $-p=66 - 43$

Step6: Calculate $66 - 43$

$-p=23$, then multiply both sides by - 1: $p=-23$

Step7: Solve $-35=\frac{w}{3}$

Multiply both sides by 3: $w=-35\times3$

Step8: Calculate $-35\times3$

$w=-105$

Answer:

For $\frac{x}{5}=-12$, $x=-60$; for $52 = 4x$, $x = 13$; for $-p + 43=66$, $p=-23$; for $-35=\frac{w}{3}$, $w=-105$