All categories

3 years ago

Use substitution to solve the system. x=3y+5 5x-4y=14 ______________ x= y=

1 answer:

nataly862011 [7]3 years ago

8 0

So what you do is go 5(3y+5)-4y=14 which equals 15y+25-4y=14 which turns into 11y+25=14 than you move the 25 over which equals 11y=-11 so y=-1 then you enter -1 in for y which looks like 5x-4(-1)=14 than you solve that which is 5x+4=14 than you move the 4 over and you get 5x=10 than x=2

x=2
y=-1

You might be interested in

The product of Rick's height and

Zielflug [23.3K]

If you divide 64 by 4 then u get 16 so r is 16

4 0

3 years ago

Help!!!!

joja [24]

Answer:

0.28 yr

Step-by-step explanation:

To find the doubling time with continuous compounding, we should look at the formula:

$FV = PVe^{rt}$

FV = future value, and

PV = present value

If FV is twice the PV, we can calculate the doubling time, t

$\begin{array}{rcl}2 & = & e^{rt}\\\ln 2 & = & rt\\t & = & \dfrac{\ln 2}{r} \\\end{array}$

1. Samuel's doubling time

$\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.055}\\\\& = & \textbf{12.603 yr}\\\end{array}$

2. Claire's doubling time

$\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.05625}\\\\& = & \textbf{12.323 yr}\\\end{array}$

3. Samuel's doubling time vs Claire's

12.603 - 12.323 = 0.28 yr

It would take 0.28 yr longer for Samuel's money to double than Claire's.

4 0

4 years ago

Part A: Solve −np − 70 < 40 for n. Show your work. (4 points) Part B: Solve 4w − 7k = 28 for k. Show your work. (6 points

likoan [24]

For part A, lets write the problem

$-np - 70\ \textless \ 40$

add $70$ to both sides

$-np - 70 + 70 \ \textless \ 40 + 70

-np \ \textless \ 110$

we are going to reverse the inequality, to do this we are going to multiply both sides by $-1$

$(-np ) ( -1 ) \ \textgreater \ 110 ( -1 )$

$pn \ \textgreater \ -110$

divide both sides by $p$

$\frac{pn}{p} \ \textgreater \ \frac{-110}{p}$

our answer would be

$n \ \textgreater \ \frac{-110}{p}$

lets go with part b, lets write the problem

$4w - 7k = 28$

subtract $4w$ from both sides

$4w - 7k - 4w = 28 - 4w$

$-7k = 28 - 4w$

divide both sides by $-7$

$\frac{-7k}{-7} = \frac{28}{-7} - \frac{4w}{-7}$

I few simplified it, we would be left with,

$k = -\frac{28 - 4w }{7}$

I hope this helped!!

- Kiana

7 0

4 years ago

) A vase contains 12 tulips and 20 roses. What is the ratio of roses to the total number of flowers in the vase?

Hatshy [7]

B. 3:5.
Hope this helps!!!

8 0

3 years ago

Read 2 more answers

Factor the expression 54x+8154x+81 using the GCF.<br> 54x+81=54x+81=

nadya68 [22]

We know that GCF stands for Greatest Common Factor and hence we need to apply this in solving the given problem. The solution is shown below:
54x+8154x+81
Combine same terms, we have:
8208X+81
Factoring with the greatest common factor which is 27
304x+3
The answer for the factored expression is 304X + 3.

6 0

3 years ago