Ask question

Ask question

All categories

3 years ago

5

Solve these system of linear equations:

1 answer:

frutty [35]3 years ago

5 0

1.solve for y
2x+4y=12
<u> </u><span><u> -2x -2x</u>
</span><u>4y</u>=<u>12-2x</u>
<u>4 4</u>
y=3-1/2x

step2 plug in y and solve for x
2x+8y=24
2x+8(3-1/2x)= 24
2x+24-4x=24
<u>-2x</u>=<u>0
</u><u>-2 -2</u>
x=0
last step plug in x and solve for y

y=3-1/2x(0)
y=3

You might be interested in

The table and graph below show the amount of money Mi-Ling and Daniel

Over [174]

Is there a math question and can you show it please

6 0

2 years ago

Verify by substitution whetherthe given functions are solutions of the given DE. Primes denote derivatives with respect to x.y!!

julia-pushkina [17]

Complete Question

The complete question is shown on the first uploaded

Answer:

$y_1$ is not a solution of the differential equation

$y_2$ is not a solution of the differential equation

$y_3$ is not a solution of the differential equation

Step-by-step explanation:

The differential equation given is $y'' + y' = cos2x$

Let consider the first equation to substitute

$y_1 = cosx +sinx$

$y_1' = -sinx +cosx$

$y_1'' = -cosx -sinx$

So

$y_1'' - y_1' = -cosx -sinx -sinx +cosx$

$y_1'' + y_1' = -2sinx$

So

$-2sinx \ne cos2x$

This means that $y_1$ is not a solution of the differential equation

Let consider the second equation to substitute

$y_2 = cos2x$

$y_2' = -2sin2x$

$y_2'' = -4cos2x$

So

$y_2'' + y_2' = -4cos2x-2sin2x$

So

$-4cos2x-2sin2x \ne cos2x$

This means that $y_2$ is not a solution of the differential equation

Let consider the third equation to substitute

$y_3 = sin 2x$

$y_3' = 2cos 2x$

$y_3'' = -4sin2x$

So

$y_3'' + y_3' = -4sin2x - 2cos2x$

So

$-4sin2x - 2cos2x \ne cos2x$

This means that $y_3$ is not a solution of the differential equation

6 0

2 years ago

Find the average of the numbers 9 5/9 , 7 2/9 , 2 7/36 4 3/4.

nataly862011 [7]

Answer:

5.93

Step-by-step explanation:

$Average= \frac{9+5/9+7+2/9+2+7/36+4+3/4}{4} = 5.930555$ or $\frac{427}{72}$

3 0

3 years ago

Solve for w<br> 5 (w - 1) - 6 = -2 (-6w+7) -w<br> Simplify your answer as much as possible.

Soloha48 [4]

It would be w=3/6 or 1/2

8 0

3 years ago

Which equation is equivalent to log3 (x+5) = 2 ?

Serjik [45]

Answer:

the anwer is x= -3

Step-by-step explanation:

(3+5)=2

6 0

2 years ago