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3 years ago

Solve the system of equations using the substitution method.

Mathematics

2 answers:

ryzh [129]3 years ago

8 0

Answer:

Step-by-step explanation:

vaieri [72.5K]3 years ago

3 0

Answer:

(7, 3 )

Step-by-step explanation:

Given the 2 equations

x = 4y - 5 → (1)

2x + 3y = 23 → (2)

Substitute x = 4y - 5 into (2)

2(4y - 5) + 3y = 23 , that is

8y - 10 + 3y = 23

11y - 10 = 23 ( add 10 to both sides )

11y = 33 ( divide both sides by 11 )

y = 3

Substitute y = 3 into (1) for corresponding value of x

x = 4(3) - 5 = 12 - 5 = 7

solution is (7, 3 )

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Multiplying two complex numbers involves ______.

Alenkasestr [34]

Answer:

Multiplying a complex number by a real number

(x + yi) u = xu + yu i. In other words, you just multiply both parts of the complex number by the real number. For example, 2 times 3 + i is just 6 + 2i. Geometrically, when you double a complex number, just double the distance from the origin, 0.

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Complex numbers use binomial methods of multiplication because unlike real numbers, imaginary numbers have two components.

So probably A. I sorry, but I need more information. Hope this helps

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Simplify (4x+7)-(-3x-9)+9x-28

MrRissso [65]

Answeriadk

Step-by-step explanation:

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3 years ago

Jon has $5,000 to invest in a savings account that has interest compounded annually. If he want his money to double in eight yea

Nataly_w [17]

$5000 × 1.1%=$55

$55 × 12 mos. in a year= $660 yearly on this percent

calculate
$660 × 8 years from now =$5280

so the answer would be 1.1% I assume

6 0

3 years ago

The formula for the future value V (in dollars) of an investment earning simple interest is V=p+prt, where p (in dollars) is the

Vitek1552 [10]

A) V = P + PRT

V=P(1+RT)

P=A/(1+RT)

P = 6000 / (1 + .08 X 7)

P = 6000 / 1.56

P = $3,846.15

5 0

3 years ago

Maitri and Aabhas do a work in 12 hours.

tamaranim1 [39]

Answer:

See below ~

Step-by-step explanation:

Given

Maitri and Aabhas do a work in 12 hours
Aabhas and Kavya do the work in 15 hours
Kavya and Maitri do the work in 20 hours

Solving

Take Maitri, Aabhas, and Kavya to be x, y, z respectively
x + y = 12 (1)
y + z = 15 (2)
x + z = 20 (3)

Take Equation 1 and rewrite it so that it is equal to x.

x = 12 - y

Take Equation 2 and rewrite it so that it is equal to z.

z = 15 - y

Now, substitute these values in Equation 3.

x + z = 20
12 - y + 15 - y = 20
-2y + 27 = 20
2y = 7
y = 7/2 = 3.5 hours [Aabhas]

Substitute the value of y in Equation 1.

x + 3.5 = 12
x = 8.5 hours [Maitri]

Substitute the value of y in Equation 2.

3.5 + z = 15
z = 11.5 hours [Kavya]

Add the values of x, y, and z together.

x + y + z
8.5 + 3.5 + 11.5
12 + 11.5
23.5 hours [together]

8 0

2 years ago