Write a two column proof for the following statement. “Given that 2( -x + 4) = 3 , prove that x = 5/2.
1 answer:
You might be interested in
Solution:
Given:
To get the product of the polynomial; we use the distributive property of multiplication.
Therefore, the product of the polynomials is;
The first step for solving this equation is to write 
in exponential form with a base of 5.
= 
Write
in exponential form with a base of 5.
= 
Since the bases on both sides of the equal are the same,, set the exponents equal.
2x + 4 = -4x
Move the constant to the right side of the equation and then change its sign.
2x = -4x - 4
Now move the variable to the left side and change its sign.
2x + 4x = -4
Collect the terms with an x variable.
6x = -4
Lastly,, divide both sides of the equation by 6 to get your final answer.
x =
Let me know if you have any further questions.
:)
Write
Since the bases on both sides of the equal are the same,, set the exponents equal.
2x + 4 = -4x
Move the constant to the right side of the equation and then change its sign.
2x = -4x - 4
Now move the variable to the left side and change its sign.
2x + 4x = -4
Collect the terms with an x variable.
6x = -4
Lastly,, divide both sides of the equation by 6 to get your final answer.
x =
Let me know if you have any further questions.
:)