The value of x in the linear equation 4(x + 5) = 9x + 4x − 34 is 6 after applying the property.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have linear equation in one variable:
4(x + 5) = 9x + 4x − 34
4x + 20 = 9x + 4x − 34 (Distributive Property)
4x + 20 -4x + 34= 9x + 4x − 34 -4x +34
(Subtraction Property of Equality and Addition Property of Equality)
54 = 9x
x = 6 (Division Property of Equality)
Thus, the value of x in the linear equation 4(x + 5) = 9x + 4x − 34 is 6 after applying the property.
Learn more about the linear equation here:
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Answer:122
Step-by-step explanation:
Given:
Total number of colored pencils = 16
Colored pencils fit in a box = 8
To find:
The number of boxed that will fit the 16 pencils.
Solution:
According to the question 8 colored pencils will fit in a box. So, we have
8 pencils = 1 box
Multiply both sides by 2.
2×8 pencils = 2×1 box
16 pencils = 2 box
Therefore, 2 boxes are required to fit the 16 colored pencils.
<u>ANSWER</u>
A. (4,12)
<u>EXPLANATION</u>
The equations are:
and
To eliminate a variable we make the coefficients of that variable the same in both equations.
It is easier to eliminate x.
We multiply the first equation by 2 to get:
We add equations (2) and (3).
Divide both sides by 23
Put x=4 into equation (1).
The solution is (4,12)
Solve for x
Divide both sides by -4
X= - 10/4
Now simplify by dividing top and bottom by 2
X= -5/2 or - 2 1/2
