literal equations | Page 5 | MathCelebrity Forum

# literal equations

1. ### 1/2a-10b=c solve for a

1/2a-10b=c solve for a Multiply each side of the equation by 2: 2/2a - 2(10)b = 2c Simplify: a - 20b = 2c Add 20b to each side: a - 20b + 20b = 2c + 20b Cancel the 20b on the left side: a = 2c + 20b You can also factor out a 2 on the left side for another version of this answer: a = 2(c + 10b)
2. ### Solve mgh=1/2mv^2+1/2(2/5)mr^2(v^2/r^2) for v

Solve mgh=1/2mv^2+1/2(2/5)mr^2(v^2/r^2) for v 1/2(2/5) = 1/5 since the 2's cancel r^2/r^2 = 1 So we simplify, and get: mgh=1/2mv^2+1/5(mv^2) for v Divide each side by m, so m's cancel in each term on the left and right side: gh = 1/2v^2 + 1/5(v^2) Combine like terms for v^2 on the right...
3. ### Consider the formula for the area of a trapezoid: A=12h(a+b) . Is it mathematically simpler to solve

Consider the formula for the area of a trapezoid: A=12h(a+b) . Is it mathematically simpler to solve for a, b, or h? Why? Solve for each of these variables to demonstrate. The variable "h" is the easiest to solve for. Because you only have one step. Let's review: Divide each side of the...
4. ### z = (x + y)/mx; Solve for x

z = (x + y)/mx; Solve for x Cross multiply: zmx = x + y Subtract x from each side zmx - x = y Factor out x x(zm - 1) = y Divide each side by zm - 1 x = y/(zm - 1)
5. ### x/y = z - 8 for x

x/y = z - 8 for x Cross multiply: x = y(z - 8)
6. ### F/B=(M-N*L)/D for L

F/B=(M-N*L)/D for L Cross multiply: DF/B = M - N*L Subtract M from each side: DF/B - M = -N*L Divide each side by -N L = -DF/BN
7. ### A=a+b+c+d÷4 for c

A=a+b+c+d÷4 for c Assume A and a are different variables: Cross multiply: a + b + c + d = 4A Subtract a, b, and d from each side: a + b + c + d - (a + b + d) = 4A - (a + b + d) Cancel the a + b + d on the left side c = 4A - a - b - d
8. ### by + 2/3 = c, for y

by + 2/3 = c, for y Subtract 2/3 from each side: by = c - 2/3 Divide each side by b y = (c - 2/3)/b
9. ### 5/9v+w=z,for v

5/9v+w=z,for v Subtract w from each side: 5/9v = z - w Multiply each side by 9/5 v = 9(z - w)/5
10. ### X+y/3=5 for x

(X+y)/3=5 for x Cross multiply: x + y = 15 Subtract y from each side: x = 15 - y
11. ### A=0.5(bh), for h

A=0.5(bh), for h Divide each side by 0.5b h = A/0.5b
12. ### q=rs/2-p;p

q=rs/2-p;p Add p to each side: q + p = rs/2 Subtract q from each side: p = rs/2 - q
13. ### B+c =10/a for a

B+c =10/a for a Cross multiply: a(B + c) = 10 Divide each side by a a = 10/(B + c)
14. ### P=ab/c, for c

P=ab/c, for c Cross multiply: cP = ab Divide each side by P c = (ab)/P
15. ### U=ak/b, for a

U=ak/b, for a Cross multiply: Ub = ak Divide each side by k a = Ub/k
16. ### k+m-7=n for k

k+m/-7=n for k Add m/7 to both sides k = n + m/7
17. ### X= p-w/m for p

Add w/m to each side: p = X + w/m
18. ### y/2+c=d for y

Multiply each side by 2 to isolate y. y +2c = 2d Subtract 2c from each side of the equation: y = 2d - 2c This can also be written y = 2(d - c)
19. ### P=15+5d/11 for d

Subtract 15 from each side: 5d/11 = P - 15 Multiply each side by 11 5d = 11p - 165 Divide each side of the equation by d: d = (11p - 165) ------------ 5
20. ### u=ak/b for a

Cross multiply: ub = ak Divide each side of the equation by k to isolate a: a = ub/k