I need help solving these equations: SOLVE for X . . . ax + b + a(x + b) = b, a(x + c) + b(x + d) - ax = e, 3x - (x + n) = m, SOLVE for P. . . P/6rn = 7/9nx, f + P/3 = P/8, 2P/m - r/s = Ps + q/ms
A literal equation is an equation with more than one variable.
AREA BASE HEIGHT
4.
Rules to Solving Literal Equations Solving equations for a specific variable involve the same rules as solving an equation.
Simplify each side of the equation, if needed, by distributing or combining like terms.
2. Move the variable being solved for to one side of the equation by using the opposite operation of addition or subtraction.
3. Isolate the variable being solved for by itself by applying the opposite operation to each side.
a. First , use the opposite operation of addition or subtraction to move any other constants or variables to the other side.
b. Second , use the opposite operation of multiplication or division to eliminate the coefficient of the variable being solved for.
5.
Example: Solve the following for y In other words, isolate the variable “ y ” by itself Undo the subtracting 5x by adding 5x to both sides. Undo the multiplying by 2, by dividing both sides by 2 Remember, all numbers on the other side get divided by 2. Since you have “ y = “, you have now solved for y
6.
Example: Solve the same equation for x In other words, isolate the variable “ x ” by itself Undo the positive 2y by subtracting 2y from both sides. Undo the multiplying by -5, by dividing both sides by -5 Remember, all numbers on the other side get divided by -5. Since you have “ x = “, you have now solved for x Move the negative to the numerator by changing all the signs.
10.
Solve the following formula, the perimeter of a rectangle for “ w ” In other words, isolate the variable “ w ” by itself Undo the positive “2 l ” by subtracting “2 l ” Undo the multiplication by dividing both sides by 2 Remember, all the numbers get divided by 2
11.
Examples: On Your Own 1) ; Solve for b 2) ; Solve for y 3) ; Solve for y
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