Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the option 1, 2, and 3 are equivalent to
.
The equations given in the problem are the linear equations.
<h3>Linear equation</h3>
Linear equation are the equation which has the highest power of the unknown variable is 1.
Given-
1) The given expression in the problem is,
![f(x)=7x-14](https://tex.z-dn.net/?f=f%28x%29%3D7x-14)
Rewrite the equation as,
![f(x)=(7x-14)](https://tex.z-dn.net/?f=f%28x%29%3D%287x-14%29)
Take out the negative sign from the bracket,
![f(x)=-(-7x+14)](https://tex.z-dn.net/?f=f%28x%29%3D-%28-7x%2B14%29)
Rewrite the equation with positive terms first.
![f(x)=-(14-7x)](https://tex.z-dn.net/?f=f%28x%29%3D-%2814-7x%29)
Hence the given equation is equivalent to the option 1.
2) The given equation,
![f(x)=7x-14](https://tex.z-dn.net/?f=f%28x%29%3D7x-14)
On solving further take out the 7 common from the bracket,
![f(x)=7(x-2)](https://tex.z-dn.net/?f=f%28x%29%3D7%28x-2%29)
Thus the given equation is equivalent to the option 2.
3) The given equation,
![f(x)=7x-14](https://tex.z-dn.net/?f=f%28x%29%3D7x-14)
Split the term of <em>x,</em>
<em />
<em />
Rewrite the equation,
![f(x)=3x-14+4x](https://tex.z-dn.net/?f=f%28x%29%3D3x-14%2B4x)
Hence the given equation is equivalent to the option 3.
4) The given equation,
![f(x)=7x-14](https://tex.z-dn.net/?f=f%28x%29%3D7x-14)
Split the term of <em>x </em>and constant term,
<em />
<em />
Rewrite the equation,
![f(x)=2x-10+5x-4](https://tex.z-dn.net/?f=f%28x%29%3D2x-10%2B5x-4)
Hence the given equation is not equivalent to the option 4.
Thus the expressions given in the option 1, 2, and 3 are equivalent to
.
Learn more about the linear equation here;
brainly.com/question/11897796