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3 years ago

Solve the system of equations -8x+7y=6 and 3x-2y=4 by combining the equations

Mathematics

1 answer:

ioda3 years ago

3 0

Answer:

x=8, y=10. (8, 10).

Step-by-step explanation:

-8x+7y=6

3x-2y=4

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

2(-8x+7y)=2(6)

7(3x-2y)=7(4)

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

-16x+14y=12

21x-14y=28

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

5x=40

x=40/5

x=8

3(8)-2y=4

24-2y=4

2y=24-4

2y=20

y=20/2

y=10

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Find the midpoint of the line segment JK if j (4,6) and k(0,-4)

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Answer:

$(2,1)$

General Formulas and Concepts:

Order of Operations: BPEMDAS

Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

<u>Step 1: Define points</u>

J (4, 6)

K (0, -4)

<u>Step 2: Find midpoint</u>

Substitute: $(\frac{4+0}{2},\frac{6-4}{2})$
Add/Subtract: $(\frac{4}{2},\frac{2}{2})$
Divide: $(2,1)$

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3 years ago

Please help me i rlly need help

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Answer:

Step-by-step explanation:

Given a line with points; (2, 5) (3, 8).

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The formula for finding the slope is:

$\frac{y_{2}-y_{1} }{x_{2} - x_{1}}$

Substitute in the values;

$x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8$

$\frac{8-5}{3-2}$

simplify;

$\frac{3}{1}$

= 3

2. Find the slope of the parallel line;

Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.

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Read 2 more answers

If a population of 200 squirrels has a 10 percent growth rate each year, how many individuals will there be in the population af

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For this case we have a function of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
y = 200 * (1.10) ^ (t)
For 3 years we have:
y = 200 * (1.10) ^ (3)
y = 266.2
Rounding off we have:
y = 266
Answer:
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