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3 years ago

A system of two equations has no solution. One equation is -15x+y=18.

1 answer:

5 0

If you multiply the original equation by 3 you get -45x+3y=54, which is the exact same as A, therefore they have infinite solutions.

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Solve each system of linear equations albebraically

ANEK [815]

Step-by-step explanation:

$1.\\\left\{\begin{array}{ccc}y=3x&(1)\\2y=6x&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\2(3x)=6x\\6x=6x\qquad\text{subtract}\ 6x\ \text{from both sides}\\6x-6x=6x-6x\\0=0\qquad\text{TRUE}\\\\Answer:\ \text{Infinitely many solutions}\\\\\left\{\begin{array}{ccc}y=3x\\x\in\mathbb{R}\end{array}\right$

$2.\\\left\{\begin{array}{ccc}y=2x+5&(1)\\y-2x=1&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\(2x+5)-2x=1\\2x+5-2x=1\qquad\text{combine like terms}\\(2x-2x)+5=1\\5=-1\qquad\text{FALSE}\\\\Answer:\ \text{No solution.}$

$3.\\\left\{\begin{array}{ccc}3x-2y=9\\-6x+4y=1&\text{divide both sides by 2}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x-2y=9\\-3x+2y=0.5\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=9.5\qquad\text{FALSE}\\\\Answer:\ \text{No solution.}$

5 0

3 years ago

It costs $22 to enter an amusement park and $0.50 to ride a ride. You have $23. Write an equation that represents the number r o

bogdanovich [222]

Answer:

21.50 + 0.25r = 22.25

Step-by-step explanation:

Thats ur equationnn

8 0

2 years ago

Orwell building supplies' last dividend was $1.75. Its dividend growth rate is expected to be constant at 38.00% for 2 years, af

WITCHER [35]

Answer:

Estimated current stock price is $46.84

Step-by-step explanation:

First we have to find the value of dividend payment $t_1, t_2 \& t_3$

Given $D_0=$1.75$

Yearly growth rate for next 2 years( $g_1$ )=38.00%

$D_1=\$1.75\times 1.38=\$2.42$

$D_2=\$2.42\times1.38=\$3.34$

Growth after two years will 6% indefinitely

$g_2=6\%=\dfrac{6}{100}=0.06$

$D_3=\$3.34\times1.06=\$3.54$

Estimate of current stock price is

$=\dfrac{D_1}{(1+r)}+\dfrac{D_2}{(1+r)^{2}}+\dfrac{\dfrac{D_3}{(r-g_2)}}{(1-r)^{3}}$

$=\dfrac{\$2.42}{(1.12)}+\dfrac{\$3.34}{(1.12)^{2}}+\dfrac{\dfrac{\$3.54}{(0.12-0.06)}}{(1.12)^{3}}$

=$46.84

Estimate of current stock price is =$46.84

3 0

3 years ago

In a large apartment building, 35 of the apartments have a balcony and 55 do not.

Masteriza [31]

Hello!

You first have to find the total amount of apartments

35 + 55 = 90

There are 90 apartments

Then you find the percentage of them have a balcony

You do this by taking the amount of apartments that have a balcony over the total amount of apartments

35/90 = 0.39

0.39 as a percent is 39%

The answer is 39/100 or 39%

Hope this helps!

5 0

3 years ago

ALL HELP/ANSWER IS GREATLY APPRECIATED

Gnesinka [82]

Answer:

B i think!

Step-by-step explanation:

6 0

3 years ago