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3 years ago

Two lines, E and F, are represented by the equations given below.

Mathematics

2 answers:

melisa1 [442]3 years ago

7 0

Answer:

⇒ 5x + 5y = 40.

There are infinitely many solutions.

shusha [124]3 years ago

6 0

Although you have not included the statements about the solution to the set of the given equations, I can explain you what happen with that system.

You can arrive to the same conclusion by any method of solution of systems that you like.

The quickest in this case, is to multiply the equation of the lIne F by 5.

That leads to: 5 (x + y) = 5(8)

⇒ 5x + 5y = 40.

Now you can realize that the two representations (equations) correspond to the same line.

That means that there are infinite solutions, this is infinity values of x and y meet both equations.

If you graph line E and line F they overlap in the entire domain, so the graphing method also tells you that you cannot find one solution but infinite soluttions.

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Nataly_w [17]

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saw5 [17]

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The median is the middle term in the arranged data set. ... The median class interval is the corresponding class where the median value falls.

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2 years ago

Find the area of the triangle.

Yakvenalex [24]

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3 years ago

Read 2 more answers

In order to solve the following system of equations by addition, which of the

Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given system of equations:

$\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}$

To solve the given system of equations by addition, make one of the variables in both equations sum to zero. To do this, the chosen variable must have the same coefficient, but it should be negative in one equation and positive in the other, so that when the two equations are added together, the variable is eliminated.

To eliminate the variable y:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

$\implies -3(4x-2y=7) \implies -12x+6y=-21$

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

$\implies 2(3x-3y=15) \implies 6x-6y=30$

Add the two equations together to eliminate y:

$\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}$

Solve for x:

$\implies -6x=9$

$\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}$

Substitute the found value of x into one of the equations and solve for y:

$\implies 3\left(-\dfrac{3}{2}\right)-3y=15$

$\implies -\dfrac{9}{2}-3y=15$

$\implies -3y=\dfrac{39}{2}$

$\implies y=-\dfrac{39}{2 \cdot 3}$

$\implies y=-\dfrac{13}{2}$

Learn more about systems of equations here:

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3 0

1 year ago

Read 2 more answers

For the senior pic mr. Williams is using two cylinders to help keep the food cool the inside still there with the radius of 8 in

Rasek [7]

The answer is 1,695.6 in³.

The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2

The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14

V1 = 3.14 * 10² * 15 = 4,710 in³

The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14

V2 = 3.14 * 8² * 15 = 3,014.4 in³

The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³

4 0

3 years ago