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monitta
3 years ago
6

Solve the system of equations by substitution. y = 8 X – 2y + 3z = 3 3x + 3y – 2z = 15

Mathematics
1 answer:
Dafna1 [17]3 years ago
6 0

Answer:

Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down

to one with only one variable (by substitution or addition). With three variables

we will reduce the system down to one with two variables (usually by addition),

which we can then solve by either addition or substitution.

To reduce from three variables down to two it is very important to keep the work

organized. We will use addition with two equations to eliminate one variable.

This new equation we will call (A). Then we will use a different pair of equations

and use addition to eliminate the same variable. This second new equation we

will call (B). Once we have done this we will have two equations (A) and (B)

with the same two variables that we can solve using either method. This is shown

in the following examples.

Example 1.

3x +2y − z = − 1

− 2x − 2y +3z = 5 We will eliminate y using two different pairs of equations

5x +2y − z = 3

Step-by-step explanation:

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Find the ninth term of the sequence sqrt 5, sqrt 10, ^2sqrt 5
hjlf
The rule of geometric sequence is   ⇒⇒⇒ a * r^(n-1)
Where a is the first term and  r is the common ratio
for the given sequence  √5 , √10 , 2√5 , .......
a = √5
r = √10 / √5 = √2
The ninth term = √5 * (√2)^(9-1) = √5 * (√2)⁸ = 16 √5

the correct answer is the third option 16√5
5 0
3 years ago
The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the 20-meter-wide river. Write an equation f
aksik [14]

Answer:

\frac{x^2}{36} + \frac{y^2}{100} = 1

Step-by-step explanation:

Required

The equation of the ellipse

This is calculated as:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

Where:

b =6 ---- height

a = 0.5 * 20 =10 --- width

So:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

\frac{x^2}{6^2} + \frac{y^2}{10^2} = 1

\frac{x^2}{36} + \frac{y^2}{100} = 1

3 0
2 years ago
Just need to know how to solve
daser333 [38]

Answer:

so where the points are on the triangles is where you would go side to side and up and down

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
(2m-3)(2m+3)(4m^2+9)
fredd [130]

Answer:

16m^{4}−81

Step-by-step explanation:

Hope this is correct and it helps :)

6 0
2 years ago
What is more accurate, mean or average? Explain why.
Airida [17]
It can be viewed different to what is more accurate depending on the relation of this question to another.
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