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2 years ago

Which of these systems would be best solved by using the elimination method? (Check all that apply)

Mathematics

1 answer:

liraira [26]2 years ago

8 0

Answer:

option 1 and 4

Step-by-step explanation:

The elimination method should be used when there are two variables with the same number in front of them but different signs.

In the first system, the first equation has -8y while the second one has 8y.

Both equations have an 8y with different signs therefore using the elimination method would be most logical.

In the fourth system, the first equation has a -4x while the second one has 4x.

Both equations have 4x with different signs therefore using the elimination method would be most logical

Reasons it can't be the other options :

In the second system, no variable has the same number before it so no variable can be eliminated unless you multiply the equations by a common multiple. The best method for this system would be graphing

In the third system y is defined by an expression therefore using the substitution method is the most logical approach.

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There are 180 cars in the parking lot 30% are red cars how many red cards are there

Yuri [45]

There are 54 red cars

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2 years ago

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Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

$\texttt{ }$

<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

$\texttt{ }$

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>

$\texttt{ }$

<em>Equation 1 ↔ Equation 2 :</em>

$50C + 140M = 680$

$50 ( 6 + M ) + 140M = 680$

$300 + 50M + 140M = 680$

$190M = 680 - 300$

$190M = 380$

$M = 380 \div 190$

$M = 2$

$\texttt{ }$

$C = 6 + M$

$C = 6 + 2$

$C = 8$

$\texttt{ }$

<h2>Conclusion:</h2>

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

$\texttt{ }$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

5 0

3 years ago

What is 2^3 x 2^7= equivalent to

goldenfox [79]

Answer:

3.940201X 10^115

Step-by-step explanation:

2^3x (2x2x2x2x2x2x2)

2^3x128

2^384

3.940201 x 10^115

7 0

3 years ago

The price has changed from 125$ to 75$. By how much percent did it change

Firlakuza [10]

Answer:

-40 %

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((75 - 125) / 125) * 100 = -40 %

The percentage change from 125 to 75 is -40 %

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3 years ago

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Use the commutative property of multiplication to identify which expression is equivalent to 6(2)(x).

11Alexandr11 [23.1K]

The commutative property is when you change the order but not the answer. To better understand what they are asking you, let's let x=1- 6 * 2 * 1=12; Answer A wouldn't be right because there are no 6,2, or x's. Remember you just change the ORDER not the GROUPING so Answer B is wrong too. Now Answer C and Answer D are left. Now you just need to look at the signs. 6(2) just means 6 TIMES 2 so pick the option with multiplication. So your answer is C. Hope I helped!

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4 years ago