Respuesta :
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 [tex]7x - 14[/tex].
The equations given in the problem are the linear equations.
Linear equation
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,
[tex]f(x)=7x-14[/tex]
Rewrite the equation as,
[tex]f(x)=(7x-14)[/tex]
Take out the negative sign from the bracket,
[tex]f(x)=-(-7x+14)[/tex]
Rewrite the equation with positive terms first.
[tex]f(x)=-(14-7x)[/tex]
Hence the given equation is equivalent to the option 1.
2) The given equation,
[tex]f(x)=7x-14[/tex]
On solving further take out the 7 common from the bracket,
[tex]f(x)=7(x-2)[/tex]
Thus the given equation is equivalent to the option 2.
3) The given equation,
[tex]f(x)=7x-14[/tex]
Split the term of x,
[tex]f(x)=4x+3x-14[/tex]
Rewrite the equation,
[tex]f(x)=3x-14+4x[/tex]
Hence the given equation is equivalent to the option 3.
4) The given equation,
[tex]f(x)=7x-14[/tex]
Split the term of x and constant term,
[tex]f(x)=5x+2x-10-4[/tex]
Rewrite the equation,
[tex]f(x)=2x-10+5x-4[/tex]
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 [tex]7x - 14[/tex].
Learn more about the linear equation here;
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