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When the variable is on both sides of the equation it is perfectly acceptable to solve each side by itself?
You have to have the variable ending on at most one side of the equal sign. If you end up with no variables, you will have either an infinate solution(Ex. 5=5) or no solution (Ex. 6=14)
Also... Each side needs equal treatment.
EX: 15a+3b=45c
divide all parts by an LCD [3]
15a/3=5a
3b/3=b
45c/3=15c
Thus
5a+b=15c
This is as far as it goes...
What else can I help you with?
Is the goal in solving an equation to get the variable by itself?
Yes
To use inverse operations on both sides of an equation until the variable appears by itself on one side?
Isolate the variable
What is a two-step equation?
A two Step equation is simply an equation that requires two steps to solve it.Example3h + 4 = 16 *Get the Variable by itself- when doing that know thataddition and Subtraction always come before Multiplicationand subtraction. - 4 = - 43h = 123h / 3 = 12 / 3h = 12 / 3 => h = 4
How do you get the variable by its self if its in a fraction?
if you have a variable in a fraction and want it by itself you have to rearrange the equation e.g. 2x/1=1 to get the variable by itself you first need to get rid of the fraction SO... you multiply both sides by the denominator (in this case it's 1) so you end up with 2x=1 to get the variable alone you then need to get rid of the coefficient, which in this case is 2. To get rid of this coefficient you need to divide both sides by two (because the variable is multiplied by 2) so then you end up with 2x/2=1/2 We can then simplify to x=1/2.
Solve the equation for x and enter your answer in the box below?
To solve an equation for x, you need to isolate the variable on one side of the equation. Start by performing the inverse operation to undo any addition, subtraction, multiplication, or division. Once you have x by itself, the solution will be the value of x that satisfies the equation. Remember to follow the order of operations and be careful with signs to ensure accuracy in your answer.
Is the goal in solving an equation to get the variable by itself?
Yes
Which would be the independent variable and which would be the dependent variable?
A dependent variable is usually on the side of the equation by itself. The independent variable usually has something being done to it. And, the dependent variable is usually written to the left of the equation.
Is the goal of solving an equation to get the variable by itself?
No. The goal is to find a value of the variable(s) for which the solution is true. Getting the variable by itself is only a part of the process, not the goal.
To use inverse operations on both sides of an equation until the variable appears by itself on one side?
Isolate the variable
What does it mean to solve a formula for a variable that appears on both sides?
It means that you manipulate the equation in such a way that the variable appears only on one side, by itself.
What does it mean when the result of solving a linear equation is x equals 0?
Solving a one variable linear equation involves getting the variable on one side of the equals sign by itself. To do this one uses the properties of numbers.
When solving an equation how can you tell the variable is by itself?
there is nothing being added or multiplied to it, and it is on its own side of the equal sign
How do you get a variable by itself when it's the denominator in a fraction?
To isolate a variable in the denominator of a fraction, you can start by multiplying both sides of the equation by the denominator. This eliminates the fraction and allows you to manipulate the variable directly. After multiplying, rearrange the equation to solve for the variable. Finally, ensure that you check for any restrictions, such as the variable not being equal to zero, to avoid undefined expressions.
How do you isolate a variable?
To isolate a variable, you need to manipulate the equation so that the variable is on one side by itself. This typically involves performing inverse operations, such as adding, subtracting, multiplying, or dividing both sides of the equation by the same value. It's important to apply these operations consistently to maintain the equality. Once the variable is isolated, you can clearly see its value in relation to the other terms in the equation.
Tariq said you can write an equation by setting an expression equal to itselfWould an equation like this be trueexplain?
Yes. Any number, or expression, is equal to itself. An equation such as:x + 5 = x + 5 is true for ANY value of "x".
What is the first step in solving a 2step equatioin?
Add the inverse to both sides of the equation to get the variable term by itself. ex: 3x + 7 = -8 Add -7 to both sides of the equation this 'cancels' the +7 on the left leaving 3x, the variable term, alone on the left.
Is x-7 equal to -3?
-4
