Answer:
Option A and D are correct.
[tex]3x -3 +4 =2-x-3[/tex] and [tex]3x +1 = -x -1[/tex] are the equivalent equations might Samuel use
Step-by-step explanation:
Given the equation: [tex]3(x-1)+4 = 2-(x+3)[/tex]
using distributive property; [tex]a\cdot (b+c) = a\cdot b+ a\cdot c[/tex]
3x - 3 + 4 = 2- x -3
Like terms are those terms that have same variables or power
Combine like terms on each side;
3x + 1 = -x -1
Subtract 1 from both sides we get;
3x = -x -2
or
4x = -2
Divide both sides by 4 we get;
[tex]x = -\frac{2}{4} = -\frac{1}{2}[/tex]
Therefore, the equivalent equations might Samuel use are; [tex]3x -3 +4 =2-x-3[/tex] and [tex]3x +1 = -x -1[/tex]
An equation is formed of two equal expressions. The equations that can be used by Samuel to solve equation 3(x-1)+4=2-(x+3) are A and E.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution to the given equation 3(x-1)+4=2-(x+3) is,
[tex]3(x-1)+4=2-(x+3)\\\\3x-3+4=2-x+3\ .\ .\ .\ .\ .\ (A)\\\\3x+1=-x+5\ .\ .\ .\ .\ .\ (E)\\\\3x+x=5-1\\\\ 4x=4\\\\x=1[/tex]
As marked above the equations that can be used by Samuel to solve equation 3(x-1)+4=2-(x+3) are A and E.
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