All categories

3 years ago

PLEASE HELP !!!!!!!!Solve the system of equations using the linear combination method.

Mathematics

1 answer:

vfiekz [6]3 years ago

6 0

Answer:

The solution would be (5, -2)

Step-by-step explanation:

To use this method, start by multiplying the second equation by -1. Then add the two equations together.

9x + 5y = 35

-2x - 5y = 0

------------------

7x = 35

x = 5

Now that we have the value of x, use it to solve either equation for y.

2x + 5y = 0

2(5) + 5y = 0

10 + 5y = 0

5y = -10

y = -2

You might be interested in

Determine the intercepts of the line. <br> y-intercept: (___, ___)<br> x-intercept: (___,___)

KIM [24]

Y intercept is (0,-0.7) and X intercept is (-1.2 ,0)

3 0

3 years ago

A test takes less than 50 minutes to complete. Thirty-eight minutes have passed. Which inequality represents m, the possible num

Anastaziya [24]

The answer is A. m + 38 less-than 50

hope this helps !

5 0

2 years ago

Which statement about|-8 is true?

Roman55 [17]

Answer:

Your second listed answer choice would be your answer.

7 0

3 years ago

A tank contains 1600 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the tank at the rate 2 L/min, and

goldfiish [28.3K]

Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of

(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min

and flows out at a rate of

(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min

Then the net flow rate is governed by the differential equation

$\dfrac{\mathrm dS(t)}{\mathrm dt}=\dfrac8{100}-\dfrac{S(t)}{800}$

Solve for S(t):

$\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{S(t)}{800}=\dfrac8{100}$

$e^{t/800}\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{e^{t/800}}{800}S(t)=\dfrac8{100}e^{t/800}$

The left side is the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}$

Integrate both sides:

$e^{t/800}S(t)=\displaystyle\frac8{100}\int e^{t/800}\,\mathrm dt$

$e^{t/800}S(t)=64e^{t/800}+C$

$S(t)=64+Ce^{-t/800}$

There's no sugar in the water at the start, so (a) S(0) = 0, which gives

$0=64+C\impleis C=-64$

and so (b) the amount of sugar in the tank at time t is

$S(t)=64\left(1-e^{-t/800}\right)$

As $t\to\infty$ , the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.

7 0

3 years ago

A car uses 12 gallons to travel 100 miles. How many gallons would it use to travel 450 miles?

rosijanka [135]

54 gallons

Step-by-step explanation:

12 × 4.5 =54 gallons

4 0

2 years ago