All categories

3 years ago

Solve this system of equations by any method. 5x + y = -13 4x + 3y= -17

1 answer:

5 0

5x + y = -13.....multiply by -3
4x + 3y = -17
-----------------
-15x - 3y = 39 (result of multiplying by -3)
4x + 3y = -17
-----------------add
-11x = 22
x = -22/11
x = -2

5x + y = -13
5(-2) + y = -13
-10 + y = -13
y = -13 + 10
y = -3

solution (-2,-3)

You might be interested in

The length of a rectangle is six times its width. The area of the

Anni [7]

Answer:

length= 42

width = 7

Step-by-step explanation:

4 0

3 years ago

PLEASE HELPPP MEEEEEE

Allushta [10]

Answer: T-birds and bulldogs

Explanation:

T-bird has 15 win and 5 lose so the ratio is 15/5 = 3

Bulldogs has 12 win and 4 lose so the ratio is 12/4 = 3

Therefore, their ratio are equivalent

6 0

3 years ago

5 less than a number is equivalent to 1 more than three times the number<br><br> The number is ??

givi [52]

Answer:

-3

Step-by-step explanation:

Let x equal the mystery number

Our equation will be:

x - 5 = 1 + 3x

Subtract x from both sides

-5 = 1 + 2x

Subtract 1 from both sides

-6 = 2x

Divide both sides by 2

-3 = x

4 0

3 years ago

How much should a family deposit at the end of every 6 months in order to have $4000 at the end of 3 years? The account pays 5.9

ra1l [238]

We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

$PV_{ord}=C(\frac{1-(1+i)^{-kn}}{\frac{i}{k}})$

Where:

$\begin{gathered} C=\text{ payments each period} \\ i=\text{ interest rate} \\ n=\text{ number of periods} \\ k=\text{ number of times the interest is compounded} \end{gathered}$

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

$\frac{5.9}{100}=0.059$

Now we substitute the values:

$PV_{ord}=4000(\frac{1-(1+0.059)^{-2(3)}}{\frac{0.059}{2}})$

Now we solve the operations, we get:

$PV_{\text{ord}}=39462.50$

Therefore, the present value must be $39462.50

8 0

1 year ago

Find the equation of the line perpendicular to the line x=9 that passes through the point (9,-1)

tia_tia [17]

Answer:

y = -1

Step-by-step explanation:

Notice that the line x = 9 is a vertical line, therefore a line perpendicular to it will be a horizontal line of the form y = constant number.

Since we want it to go through the point (9, -1), then we know that that y value needs to be "-1", and the equation of the line will be given by the expression:

y = -1

3 0

3 years ago

Read 2 more answers