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**Solving for One Variable in Terms of Another Variable**

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**Solve the equation for b.**

A = bh Which variable am I solving for? h h Divide by h on both sides. A = b Solved for b. h

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**Solve the equation for h.**

A = bh Which variable am I solving for? b b Divide by b on both sides. A = h Solved for h. b

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**Solve the equation for h.**

V = lwh Which variable am I solving for? lw lw Divide by lw on both sides. V = h Solved for h. lw

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**Solve the equation for w.**

V = lwh Which variable am I solving for? lh lh Divide by lh on both sides. V = w Solved for w. lh

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**Solve the equation for .**

A = r Which variable am I solving for? r r Divide by r2 on both sides. A = Solved for . r2

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**Solve the equation for w.**

P = 2l + 2w Which variable am I solving for? -2l -2l Subtract 2l from both sides. P – 2l = 2w Can’t combine P and -2l Divide both sides by 2. P – 2l = w Solved for w

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**Solve the equation for h.**

A = bh Which variable am I solving for? b b Divide by b on both sides. A = h Multiply both sides by 2. b (2) A = h(2) Multiply both sides by b 2A = h Solved for h b

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**Solve the equation for .**

V = r2h Which variable am I solving for? r2h r2h Divide by r2h on both sides. V = Solved for . r2h

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**Solve the equation for z.**

x + y + z = P Which variable am I solving for? -x -y x -y Subtract x and y from both sides. z = P – x – y Can’t combine P, -x and -y z = P – x – y Solved for z.

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**Solve the equation for n.**

- l= m Which variable am I solving for? +l +l Add l to both sides. = m + l Can’t combine m and l (k) = k(m + l) Multiply both sides by k. n = km + kl Solved for n.

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**Solve the equation for y in terms of x.**

5x + 6y = Which variable am I solving for? -5x x Subtract 5x from both sides. 6y = -5x Can’t combine -5x and 24 Divide by 6. y = -x Solved for y.

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3.5 Solving Equations with Variables on Both Sides.

3.5 Solving Equations with Variables on Both Sides.

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