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3 years ago

How many equations in the same variables must be in a set to solve a system of linear equations?

Mathematics

1 answer:

ira [324]3 years ago

6 0

Answer:

For a unique solution, there must be as many consistent, independent equations as there are variables.

Step-by-step explanation:

Each equation lets you write an expression for one variable in terms of the others in that equation. That expression can be substituted throughout the system, reducing the number of equations and variables by one each.

After n-1 such substitutions in a system of n equations, there will be one equation left. If that is an equation in one variable, then the solution to the system can be easily found. If more than one variable remains (> n variables in n equations), then the system cannot be solved for definitive values of each of the variables.

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If the equations are inconsistent, there is no solution. If the equations are dependent, then there is no unique solution.

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Giving Brainleist for BOTH answers::MATH

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

If you have ten feet on one side and 8 feet on another mulitiply and 10 times 8 is 80 so theres your answer

5 0

3 years ago

Read 2 more answers

Write the equation of the following graph in intercept form.

Kobotan [32]

Answer:

A) $f(x)=0.2(x+2)(x-5)$

Step-by-step explanation:

The graph has x-intercepts at $x=5$ and $x=-2$ , so our factors for the polynomial will be $x+2$ and $x-5$ . This means we can rule out options B and D.

Our graph also has a y-intercept of $y=-2$ when $x=0$ , so if we let $f(x)=-2$ and $x=0$ , we can find the multiplier:

$f(x)=a(x+2)(x-5)\\-2=a(0+2)(0-5)\\-2=a(2)(-5)\\-2=-10a\\\frac{1}{5}=a\\0.2=a$

Thus, the correct equation is A) $f(x)=0.2(x+2)(x-5)$

8 0

2 years ago

Vladimir buys 1.20 pounds of Skittles, 312 pounds of M&Ms, and 5.2 pounds of pretzels. If the candy cost $1.20 a pound and t

BlackZzzverrR [31]

Answer: $10.90

Step-by-step explanation:

Skittles-1.44

M&M's-3.744

Pretzels-5.72

Not sure if its a typo, thats if theres 3.12lbs of of M&M's

The answer is theres 312 M&M's is 374.4

6 0

3 years ago

6) 2(n + 5) = -2<br> help i wasn’t paying attention in my google meet

bonufazy [111]

Answer: the answer is -6

2(n+5) = -2

2n + 10 = -2

2n = -2 - 10

2n = -12

2n *1/2 = -12 * 1/2 = -6

n = -6

5 0

3 years ago

Read 2 more answers

How do you get the answer for 10 millimeters increased by 30%

tiny-mole [99]

First you have to find what 30% of ten is, and then add it to the 10. So how do you find 30 % of 10? In math...

"of" means ×
"is" means =

30% of 10 is
30 % × 10 =

change 30% to a decimal by dividing by 100 ( move the decimal to the left 2 places)

.30 × 10 = 3

So 30% of ten is 3. Now since we are increasing by 30%, we have to add it to the original value, 10.

3 + 10 = 13

So 10 millimeters increased by 30% is

13 millimeters

8 0

3 years ago