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2 years ago

What is the solution to the system of equations shown below?

Mathematics

2 answers:

Oksana_A [137]2 years ago

8 0

Answer:

b., (2, 5, 3).

Step-by-step explanation:

x- y + z = 0

-5x + 3y - 2z = -1

2x - y + 4z = 11

Multiply the first equation by 2

2x - 2y + 2z = 0

Adding this to the second equation we get

-3x + y = -1 ........... (A)

Multiplying the second equation by 2 and adding to the third equation we get:

-8x + 5y = 9................(B)

Multiplying equation (A) by -5 and adding to equation (B) we get:

7x = 14

x = 2.

Substituting -3(2) + y = -1 so y = -1 + 6 = 5.

And substituting in the first equation fo x and y:

2 - 5 + z = 0

z = 5-2 = 3.

goblinko [34]2 years ago

5 0

Answer:

b. (2, 5, 3)

Step-by-step explanation:

Trying the offered choices seems the fastest way to find the answer. The second choice works in all equations, hence is the solution.

Another strategy you can use is to see if the equations are dependent. Here, it looks like adding twice the third equation to the other two eliminates at least the x- and y-variables. If that eliminates z, then there are infinite solutions. Instead, it gives the equation ...

7z = 21

z = 3 . . . . . divide by 7

This answer is consistent with choice B, confirming that answer and eliminating the other choices.

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Please help me, solve for y 2x-y=5

Novosadov [1.4K]

2x−y=5

Add -2x to both sides.

2x−y+−2x=5+−2x

−y=−2x+5

Divide both sides by -1.

$\frac{-y}{-1} = \frac{-2x+5}{-1}$
‌y=2x−5

Answer:

y=2x−5

3 0

3 years ago

which equation represents an exponential function that passes through the point (2, 80)? f(x) = 4(x)5 f(x) = 5(x)4 f(x) = 4(5)x

pav-90 [236]

we know that

if the exponential function passes through the given point, then the point must satisfy the equation of the exponential function

we proceed to verify each case if the point $(2,80)$ satisfied the exponential function

case A $f(x)=4(x^{5})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

$f(2)=4(2^{5})=128$

$128\neq 80$

therefore

the exponential function $f(x)=4(x^{5})$ not passes through the point $(2,80)$

case B $f(x)=5(x^{4})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

$f(2)=5(2^{4})=80$

$80=80$

therefore

the exponential function $f(x)=5(x^{4})$ passes through the point $(2,80)$

case C $f(x)=4(5^{x})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

$f(2)=4(5^{2})=100$

$100\neq 80$

therefore

the exponential function $f(x)=4(5^{x})$ not passes through the point $(2,80)$

case D $f(x)=5(4^{x})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

$f(2)=5(4^{2})=80$

$80=80$

therefore

the exponential function $f(x)=5(4^{x})$ passes through the point $(2,80)$

therefore

the answer is

$f(x)=5(x^{4})$

$f(x)=5(4^{x})$

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2 years ago

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Ray Of Light [21]

Answer: lesser x = 3.76 & greater x = 8.24

Step-by-step explanation: just took the test

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3 years ago

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goldenfox [79]

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please vote brainliest if it helped you and have a great day! :)

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3 years ago