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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THE answer is 17 because 2X2= 4+13= 17
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Step-by-step explanation:
Answer:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Step-by-step explanation:
At first we translate mathematically each sentence:
(i) <em>Ali, Carrie and Bryan received a sum of money. </em>
- Ali's money.
- Bryan's money.
- Carrie's money.
(ii) <em>Bryan's money was </em>
<em> of Ali's money</em>.
(1)
(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.
(2)
(iv) <em>Ali had $ 160 more than Bryan</em>.
(3)
After some algebraic handling, we have the following system of linear equations:
(1b)
(2b)
(3b)
The solution of the system is: 
, 
, 
The sum of money is:
The sum of money received by Ali, Carrie and Bryan is $ 740.
