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3 years ago

What is the value of the x variable in the solution to the following system of equations?

1 answer:

4 0

Let's use the addition/subtraction method.

Suppose we wish to eliminate variable x.

Mult the first eqn by 5: 10x - 15y = 15
Mult the 2nd eqn by -2: -10x+ 4y = -8

Add these two equations together: -11y = 7, and y = -7/11.

Subst. -7/11 for y in either given equation and find x.

Then your solution is (x,y) (subst. the values we've found for x and y).

You might be interested in

Which equation can pair with x-y=-2 to create a consistent and dependent system?

MrRissso [65]

See the explanation

<h2>Explanation:</h2>

A system that has one or infinitely many solutions is called <em>consistent. </em>If an equation in a system tells us no new information then the equations of the system are <em>dependent. </em>In other words, to find an equation that creates a consistent and dependent system with the given equation we have to get the same line:

The given line is:

$x-y=-2$

If we multiply both sides of the equation by a constant we will have the same line when plotting, therefore let's multiply by 3:

$3(x-y)=3(-2) \\ \\ 3x-3y=-6$

So a system of two linear equation that is consistent and dependent is:

$\left \{ {{x-y=-2} \atop {3x-3y=-6}} \right.$

<h2>Learn more:</h2>

Graph of lines: brainly.com/question/14434483#

#LearnWithBrainly

3 0

4 years ago

Out of 8 boys and 6 girls in a high school, a team of seven students is selected. What is the probability that three boys and fo

maria [59]

The probabitily is if they get selected as a team of 7 aswell if they're playing a game of some sort.

7 0

3 years ago

67 1/2 * (-1/3) it is due on Wednesday and for some reason I cont figure out this one

krok68 [10]

Answer:

-45/2

Step-by-step explanation:

67 1/2 * (-1/3)

67 1/2 = 135/2

So 135/2*1/3=45/2

45/2*-1=-45/2

7 0

1 year ago

The length of a rectangle is twice the width. The area of the rectangle is 96 square units. Notice that you can divide the rec

skelet666 [1.2K]

Answer:

The estimate part is D or the square root of 48 and the rectangle is 13.8 units long and 6.9 units wide. Have Fun on Savvas Bro

Step-by-step explanation:

5 0

3 years ago

A $250,000 home loan is used to purchase a house. The loan is for 30 years and has a 5.4% APR. Use the amortization formula to d

wlad13 [49]

$\bf ~~~~~~~~~~~~ \textit{Amortized Loan Value}
\\\\
pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]
\\\\\\
~~~~~~
\begin{cases}
P=
\begin{array}{llll}
\textit{original amount deposited}\\
\end{array}\to &250000\\
pymt=\textit{periodic payments}\\
r=rate\to 5.4\%\to \frac{5.4}{100}\to &0.054\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{since the payments are}\\
\textit{monthly, then twelve}
\end{array}\to &12\\
t=years\to &30
\end{cases}
$

$\bf pymt=250000\left[ \cfrac{\frac{0.054}{12}}{1-\left( 1+ \frac{0.054}{12}\right)^{-12\cdot 30}} \right]
\\\\\\
pymt=250000\left[ \cfrac{0.0045}{1-\left( 1.0045\right)^{-360}} \right]
\\\\\\
pymt\approx 250000\left[ \cfrac{0.0045}{0.80138080852472389274} \right]$

8 0

3 years ago