The solutions of the equations are x = 1 and y = 2
The system of equations are
4x + 3y = 10
-4x + 5y = 6
Here we have to use the elimination method. Eliminate the x term and find the value of y term
Add both equation
3y + 5y = 10 +6
Add the like terms
8y = 16
y = 16 / 8
Divide the terms
y = 2
Substitute the value of x in the first equation
4x + 3y = 10
4x + 3×2 = 10
Multiply the terms
4x + 6 = 10
4x = 10 - 6
4x = 4
x = 4 / 4
Divide the terms
x = 1
Hence, the solutions of the equations are x = 1 and y = 2
Learn more about elimination method here
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Answer: the answer is C
Step-by-step explanation:
Answer:
8x² + 11x - 9
Step-by-step explanation:
M - N
= 5x² + 7x - 4 - 1(- 3x² - 4x + 5) ← distribute parenthesis by - 1
= 5x² + 7x - 4 + 3x² + 4x - 5 ← collect like terms
= 8x² + 11x - 9
According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.
<h3>How many children went to the movie theatre?</h3>
In this question we have a <em>word</em> problem, whose information must be translated into <em>algebraic</em> expressions to find a solution. Let be x and y the number of children and adults that went to the movie theatre, respectively.
We need two <em>linear</em> equations, one for the number of people assisting to the theatre and another for the total sales:
x - 4 · y = 0 (1)
6.30 · x + 9.50 · y = 1063.20 (2)
By algebraic procedures the solution to this system is: x = 122.559, y = 30.639. Since the number of tickets sold are integers, then we truncate each result: x = 122, y = 30.
According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.
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Answer:
Option C) The value of a is correct, but the value of b is incorrect.
Step-by-step explanation:
z = 8(cos(300°) + isin(300°))
z = 8cos(300°) + 8isin(300°)
So we can see that a = 4 which is correct but b = 
and b in the question says it is b 
so its incorrect so Option C is your answer.
