All categories

3 years ago

X + y =125 5x + 8y = 775

Mathematics

2 answers:

muminat3 years ago

8 0

Answer:

x=75, y = 50

Step-by-step explanation:

Solve the following system:

{x + y = 125 | (equation 1)

5 x + 8 y = 775 | (equation 2)

Swap equation 1 with equation 2:

{5 x + 8 y = 775 | (equation 1)

x + y = 125 | (equation 2)

Subtract 1/5 × (equation 1) from equation 2:

{5 x + 8 y = 775 | (equation 1)

0 x - (3 y)/5 = -30 | (equation 2)

Multiply equation 2 by -5/3:

{5 x + 8 y = 775 | (equation 1)

0 x+y = 50 | (equation 2)

Subtract 8 × (equation 2) from equation 1:

{5 x+0 y = 375 | (equation 1)

0 x+y = 50 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 75 | (equation 1)

0 x+y = 50 | (equation 2)

Collect results:

Answer: {x = 75 , y = 50

Mila [183]3 years ago

7 0

Answer:

[75, 50]

Step-by-step explanation:

{x + y =125

{5x + 8y = 775}

-⅛[{5x + 8y = 775}]↷

{x + y = 125}

{-⅝x - y = -96⅞}

_________________

⅜x = 28⅛

x = 75 [Plug this back into both equations to get a y-value of 50]; 50 = y

Using the Elimination Method, what I did was multiply the bottom equation by -⅛ to cancel out y's by turning 8y to -y.

I am joyous to assist you anytime.

You might be interested in

Between the years of 1947 and 1956, earthenware jars containing what are known as the Dead Sea Scrolls were found in caves along

lidiya [134]

Answer:

They are right, the time calculated using the exponential decay equation is 1948.6 years.

Step-by-step explanation:

The time can be calculated using the exponential decay equation:

$N_{(t)} = N_{0}e^{-\lambda t}$ (1)

Where:

N(t): is the quantity of C-14 at time t

N₀: is the initial quantity of C-14

λ: is the decay constant

The decay constant is:

$\lambda = \frac{ln(2)}{t_{1/2}}$ (2)

By entering equation (2) into (1) and solving for t, we have:

$t = \frac{t_{1/2}*ln(N_{t}/N_{0})}{ln(2)} = \frac{5730*ln(0.79)}{ln(2)} = 1948.6 y$

Therefore, the time of the scrolls estimated by the archeologists is right, since the time calculated using the exponential decay equation is 1948.6 years.

I hope it helps you!

8 0

3 years ago

What is the measure of e?

ValentinkaMS [17]

Answer:

$\theta = 4~radians$

Step-by-step explanation:

$s = \theta r$

$20~cm = \theta \times 5~cm$

$\theta = 4~radians$

4 0

3 years ago

By which theorem or postulate can the triangles be proven similar?

bogdanovich [222]

The answer is D hope it helps

8 0

4 years ago

Please help if you can. Is -1 less than or greater than -4??

Alenkasestr [34]

Answer:

Greater

Step-by-step explanation:

Negatives that are closer to zero are greater than negatives farther from it

Hope it help even just a little :)

4 0

3 years ago

Read 2 more answers

10) X + 80 70° A) 5 C) -10 B) 8 D) 7

sleet_krkn [62]

Answer:

C: x=-10

Step-by-step explanation:

Alternate interior angles are congruent to each other meaning that x+80=70 making x equal to -10. I hope this helped and this is one of my favorite units so post more these questions :)

3 0

3 years ago