I assume you are just learning this basic algebra.
The general concept in solving equations is this:
"Whatever you do (arithmetic operation) to one side, you must do to the other side.
In general, the object is to get all the variable terms to one side, and the constants to the other side.
40 - 3n = -23
subtract 40 from both sides and simplify
40 - 3n - 40 = -23 - 40
-3n = -63
divide both sides by -3
-3n/-3 = -63/-3
n = 21
2/3 - 6h = -13/6
often it is a good idea to get rid of fractions.
the LCD of all the terms is 6, so multiply each term by 6
(2/3)(6) - 6h(6) = (-13/6)(6)
4 - 36h = -13 , ahhh, no more fractions
4 - 36h - 4 = -13 - 4
-36h = -17
divide by -36
h = 17/36
To change a "word problem sentence " into an equation , just translate it
I will do the second of your questions.
"a number decreased by 7 and then divided by 5 is 13 "
let the number be x
(x - 7)/5 = 13 , notice I just translated the English into Math
multiply both sides by 5
x-7 = 65
add 7 to both sides
x = 72
subtract 7 form 72 ---> 65
divide that by 5 ---> 13
try the others the same way,
(check your answer by following the wording of the problem. That way you are sure you have the right answer.)
Answer this Question
6th grade math - Can you check these problems, please? Translate each phrase ...
Math- urgent - One more than 3 times a number is the same as 5 times the number...
Algebra 1 - Two fewer than a number doubled is the same as the number decreased ...
Math 8R: Homework Check - Part 4 - Part 4: Translate and solve: 25. 6 less than ...
math - write the verbal sentence as an equation.then solve the equation Three ...
Math - Are these correct? two more than a number and four = 2 + n + 4 ten more ...
Math - Directions : write the equation or an inequality 1.The difference of a ...
Math Systematric Trial - Hey everybody, I really need help solving these math ...
math - The quotient of a number and 3, minus 1, equals 5/3. Find the number.
algebra - When the quotient of a certain number and 6 is decreased by 14, the ...