Question

Can Someone Help Me Understand If x/5-4/3=2 a Linear Equation or not

Answer 1

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. In our case:
\[\frac{ x }{ 5 }-\frac{ 4 }{ 3 }=2 \]This equation only has *one* variable and it's in *first* power. It also has a single constant.

Note: If drawn on a Cartesian graph, this line would be perfectly vertical at a specified x-value. Hence, it's already a line.

Answer 2

If you want to identify linear equations, the main thing to look at would be the equation's variable. For linear equations, you want only one variable in its first power (in most cases, it's x).

Answer 3

sorry not following @Cardinal_Carlo

Answer 4

Okay, let's make this simple. Look at the only variable.
\[x = x ^{1}\]One variable (x), and it's in the first power (1). Therefore, linear equation.

Answer 5

so that makes the equation a linear equation

Answer 6

Precisely. @Eianna1307

Also note:
\[x ~\rightarrow~ linear\]\[x ^{2} ~\rightarrow~ quadratic\]\[x ^{3} ~\rightarrow~ cubed\]

Answer 7

I Thought \[x ^{2} = cubed \]\[x ^{3}= quadratic\]

Answer 8

^_^ no that's backwards.

Answer 9

A cube has 3 dimensions. A square (or quadrant) only has 2 dimensions. Contrarily, a line only has 1 dimension.

Answer 10

So If Its Linear How Would You Put It In Standard Form Without The Y @Cardinal_Carlo

Answer 11

So, standard form is this:
\[Ax + By = C\]And since, y is nonexistent, we can just let B = 0. Like this:
\[\frac{ 1 }{ 5 }x + 0y = \frac{ 10 }{ 3 }\]

Answer 12

Got Confused When You Got \[\frac{ 10 }{ 3 }\] out of \[\frac{ 4 }{ 3 }\]

Answer 13

@Cardinal_Carlo

Answer 14

Okay, look:
\[\frac{ x }{ 5 }-\frac{ 4 }{ 3 }=2\]\[\frac{ x }{ 5 }=2 + \frac{ 4 }{ 3 } = \frac{ 2(3) + 4 }{ 3 } = \frac{ 6 + 4 }{ 3 } = \frac{ 10 }{ 3 }\]\[\frac{ x }{ 5 } = \frac{ 10 }{ 3 }\]\[\frac{ 1 }{ 5 }x = \frac{ 10 }{ 3 }\]
And then, we add a placeholder for y to get a standard form:
\[\frac{ 1 }{ 5 } x + 0y = \frac{ 10 }{ 3 }\]

Answer 15

That Makes Sure More Thank you @Cardinal_Carlo

Answer 16

You're welcome