Question

How do i work out these equations? HELP!?

Answer 1

The equation x - y = w

Add y to each side.

x - y + y = y + w

x + 0 = y + w

Apply additive identity property a + 0 = a.

Solution x = y + w.

Answer 2

The equation x + 3y = 5v

Subtract 3y from each side.

x + 3y - 3y = 5v - 3y

x + 0 = 5v - 3y

Solution x = 5v - 3y.

Answer 3

The equation x - v² = w²

Add v² to each side.

x - v² +  v² = w² + v²

x + 0 = w² + v²

Solution x = w² + v².

Answer 4

The equation 3v + x = w

Subtract 3v from each side.

3v - 3v + x = w - 3v

0 + x = w - 3v

Solution x = w - 3v.

Answer 5

The equation x² = 2y

Apply square root on each side.

√x² = ± √(2y)

Solution x = ± √(2y).

Answer 6

The equation x² + v² = w

Subtract v² from each side.

x² = w - v²

Apply square root on each side.

√x² = ± √(w - v²)

x = ± √(w - v²)

Solution is x = ± √(w - v²).

Answer 7

The equation x²/6 = w + y

Multiply each side by 6.

(x²/6)6 = 6(w + y)

x² = 6(w + y)

Apply square root on each side.

Solution x = ± √[6(w + y)].

Answer 8

 The equation (x² + 9)/w = y

Multiply each side by w.

[(x² + 9)/w]w = wy

x² + 9 = wy

Subtract 9 from each side.

x² + 9 - 9= wy - 9

x² + 0 = wy - 9

Apply additive identity property a + 0 = a.

x² = wy - 9

Apply square root on each side.

x = ± √(wy - 9).

Answer 9

The equation x/(y + 8) = v

Multiply each side by y + 8.

[x/(y + 8)](y + 8) = v(y + 8)

x  = vy + 8v

Solution x = vy + 8v.

 

Answer 10

The equation v/2x = w/y

Cross multiplication.

v(y) = w(2x)

vy = 2xw

Divide each side by 2w.

vy/2w = 2xw/2w

Solution x = vy/2w.