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3 years ago

Estimate the solution to the system of equations.

Mathematics

1 answer:

Georgia [21]3 years ago

5 0

Answer:

x = 4 / 3, y = 7 / 3

Step-by-step explanation:

We are given the following system of equations;

{ 7x - y = 7, ⇒ Let us multiply the first equation by 2,

x + 2y = 6 }

2 * ( 7x - y = 7 ) ⇒ 14x - 2y = 14 ⇒ Now add the two equations

+ x + 2y = 6 + x + 2y = 6

14x + x = 14 + 6 ⇒ Simplify

15x = 20,

x = 4 / 3 ⇒ Now substitute this value of x into the first equation to solve for the value of y,

7 * ( 4 / 3 ) - y = 7 ⇒ Simplify,

28 / 3 - y = 7,

y = 7 / 3

Solution; x = 4 / 3, y = 7 / 3

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3 years ago

What is the approximate distance from the origin to the point (3, −4, 5)? Round to the nearest unit. 4 units 7 units 8 units 9 u

Dafna11 [192]

Answer:

Option B is correct.

Step-by-step explanation:

The distance formula used is:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2}$

We need to find distance between origin and other point (3,-4,5)

Origin is: (0,0,0)

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Putting values in the distance formula we get:

$d=\sqrt{(3-0)^2+(-4+0)^2+(5-0)^2}\\d=\sqrt{(3)^2+(-4)^2+(5)^2}\\d=\sqrt{9+16+25}\\d=\sqrt{50}\\d=7$

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Option B is correct.

3 0

3 years ago

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6 0

3 years ago

Read 2 more answers

-x + 2y = 3 2x – 3y = -6

s2008m [1.1K]

Answer:

x = -3

y = 0

Step-by-step explanation:

Given equations :- 

-x + 2y = 3 ....... ( i )

2x - 3y = -6 ....... ( ii )

From ( i ) 

-x + 2y = 3

-x = 3 - 2y

x = 2y - 3 ........ ( iii )

From ( ii ) 

2x - 3y = -6

2x = -6 + 3y

$x = \frac{ - 6 + 3y}{2}$

........ ( iv )

Equating ( iii ) and ( iv )

x = x

$2y - 3 = \frac{ - 6 + 3y}{2}$

4y - 6 = -6 + 3y

4y - 3y = -6 + 6

y = 0

Putting value of y in ( iii )

x = 2y - 3

x = 2 ( 0 ) - 3

x = -3

4 0

3 years ago

James took a math quiz in which he earned 1 point for every correct answer and lost 0.5 points for every incorrect answer.James

Nuetrik [128]

Answer:

Step-by-step explanation:

6x0.5=3-12=9

4 0

3 years ago