Math

Question Solve for xx: x+8=60x+8=60, x4=50\frac{x}{4}=50, x2=400x^{2}=400, 54=9x54=9 x, 60=35+x60=35+x.

Studdy Solution

STEP 1

Assumptions
1. We are solving for xx in each of the given equations separately.
2. Each equation represents a basic algebraic problem.

a) x+8=60x + 8 = 60

STEP 2

Subtract 8 from both sides of the equation to isolate xx.
x+88=608x + 8 - 8 = 60 - 8

STEP 3

Simplify both sides to find the value of xx.
x=52x = 52
b) x4=50\frac{x}{4} = 50

STEP 4

Multiply both sides of the equation by 4 to isolate xx.
4x4=5044 \cdot \frac{x}{4} = 50 \cdot 4

STEP 5

Simplify both sides to find the value of xx.
x=200x = 200
d) x2=400x^{2} = 400

STEP 6

Take the square root of both sides of the equation to solve for xx.
x2=400\sqrt{x^{2}} = \sqrt{400}

STEP 7

Simplify both sides to find the values of xx.
x=±20x = \pm 20
e) 54=9x54 = 9x

STEP 8

Divide both sides of the equation by 9 to isolate xx.
549=9x9\frac{54}{9} = \frac{9x}{9}

STEP 9

Simplify both sides to find the value of xx.
x=6x = 6
f) 60=35+x60 = 35 + x

STEP 10

Subtract 35 from both sides of the equation to isolate xx.
6035=35+x3560 - 35 = 35 + x - 35

STEP 11

Simplify both sides to find the value of xx.
x=25x = 25
The solutions are: a) x=52x = 52 b) x=200x = 200 d) x=±20x = \pm 20 e) x=6x = 6 f) x=25x = 25

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