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Mathematics 12 Online
OpenStudy (anonymous):

2x-1=17

OpenStudy (shadowlegendx):

Step 1: Isolate the variable

OpenStudy (shadowlegendx):

Do you know how to isolate the variable?

OpenStudy (shadowlegendx):

Well you just went offline so I will explain it xD

OpenStudy (shadowlegendx):

You basically want the variable(x) to be alone on one side of the equation. For example we want to make it look like this: \[x = 5\] So to do this we have to use remove that -1 to make 2x alone on that side of the equation

OpenStudy (shadowlegendx):

But remember, when solving for such an equation, you must do the same thing to BOTH sides of the equation. So were going to +1 to -1 to make it gone, but we must also +1 to 17. We get the following: \[2x = 18 \]

OpenStudy (shadowlegendx):

-1 is basically saying minus positive, so we would use the opposite operation to solve the equation. The same goes for 2x. 2x is basically \[2 \times x \] So we would use the opposite operation, dividing \[2x \div 2 = x\]

OpenStudy (shadowlegendx):

But remember, when we do something to one side, we must do it to the other side, so we do: \[18 \div 2 = 9 \] We now get \[x = 9\]

OpenStudy (shadowlegendx):

To check your work put 9 in for x and solve the equation \[2 \times 9 - 1 = 17\]

OpenStudy (shadowlegendx):

@known4modesty

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