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3 years ago

What is the solution to the system of equations? x=3y+5 x-4y=3

1 answer:

8 0

Solve x=3y+5;x−4y=3

x=3y+5;x−4y=3Step: Solve x=3y+5for x:Step: Substitute 3y+5 for x in x−4y=3:x−4y=33y+5−4y=3−y+5=3 Simplify both sides of the equation−y+5+−5=3+−5 Add -5 to both sides−y=−2−y−1=−2−1 Divide both sides by -1y=2Step: Substitute 2 for y in x =3y+5:x=3y+5x=(3)(2)+5x=11 Simplify both sides of the equationAnswer:x=11 and y=2

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4. Use the substitution method to determine the solution to this system of equations.

N76 [4]

Answer:

No solution

Step-by-step explanation:

6X - 3Y = -9--------------(1)

- 2 X +Y= 5---------------(2)

from equation two,

Y = 5+2X------------------(3)

substitute equation (3) into equation (1)

6X-3(5+2X)= -9

opening bracket

6X-15-6X= -9

6X- 6X = -9+15

0 = 6

<h2>therefore the answer is no solution</h2>

3 0

1 year ago

|3x+6|+3=6 What is the answer?

GrogVix [38]

Answer:

x=-3 or x=-1

Step-by-step explanation:

Subtract 3 from both sides of your equation, it should look like this |3x+6|+3-3=6-3.

Simplify to get |3x+6|=3

Apply the absolute rule to get 3x+6=-3 or 3x+6=3.

3x+6=-3 : x=-3

3x+6=3 : x=-1

I'm glad I was able to help have a great day!

8 0

3 years ago

A small business assumes that the demand function for one of its new products can be modeled by p = Cekx. When p = $40, x = 1000

Maru [420]

Answer:

C= 82.1116

k=-0.0007192

Step-by-step explanation:

$p=Ce^{kx}\\40=Ce^{k1000}\\30=Ce^{k1400}\\$

Applying logarithmic properties yields in the following linear system:

$ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k$

Solving for k:

$ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k\\400 k = ln(30)-ln(40)\\k=-0.0007192$

Solving for C:

$40=Ce^{-0.0007192*1000}\\C= \frac{40}{e^{-0.0007192*1000}}\\C=82.1116$

C= 82.1116

k=-0.0007192

6 0

3 years ago

An equation and the steps to solve it are shown below:

Sphinxa [80]

S1: 7x - 4x - 2 = 6 OK
S2: 3x - 2 = 6 OK
S3: 3x - 2 + 2 = 6 WRONG, correct is 3x - 2 + 2 = 6 + 2

Answer: c. Step 3, because a number has been added only to one side of the equation.

6 0

3 years ago

Please help me out

Tema [17]

Answer:

UwU thank you

please remember to smile, because when you do the whole world gets brighter

-Todo <3

Step-by-step explanation:

7 0

2 years ago