Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
2 answers:
2x-4=3-x +1
<span>Simplifying
2x + -4 = 3 + -1x + 1
Reorder the terms:
-4 + 2x = 3 + -1x + 1
Reorder the terms:
-4 + 2x = 3 + 1 + -1x
Combine like terms: 3 + 1 = 4
-4 + 2x = 4 + -1x
Solving
-4 + 2x = 4 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-4 + 2x + x = 4 + -1x + x
Combine like terms: 2x + x = 3x
-4 + 3x = 4 + -1x + x
Combine like terms: -1x + x = 0
-4 + 3x = 4 + 0
-4 + 3x = 4
Add '4' to each side of the equation.
-4 + 4 + 3x = 4 + 4
Combine like terms: -4 + 4 = 0
0 + 3x = 4 + 4
3x = 4 + 4
Combine like terms: 4 + 4 = 8
3x = 8
Divide each side by '3'.
x = 2.666666667
Simplifying
x = 2.666666667</span>
Answer:
The solution of the given equation is
.
Step-by-step explanation:
The given equation is

Write the equation in system of questions.


The table of values is
x values f(x) g(x)
0 -4 2
1 -2 1.33
2 0 1.11
3 2 1.037
4 4 1.0123
In initial stage the value of f(x)<g(x) upto x=2. But after x=3, f(x)>g(x). It means the value of x must be lie between 2 and 3.
From the below figure it is clear that the intersection point of both functions is (2.531, 1.062).


Therefore the solution of the given equation is
.
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