All categories

4 years ago

What's the solution of the system? 2x-y=-7

Mathematics

2 answers:

makvit [3.9K]4 years ago

7 0

The answer is (1.5,10)
4x -y = -4
-(2x - y = -7)
-------------------
2x = 3
x = 3/2 or 1.5

son4ous [18]4 years ago

5 0

Answer:

The answer is (1.5, 10)

Step-by-step explanation:

We can solve this system by apllying substitution in the following way:

(1) 2x-y=-7

(2) 4x-y =-4

1. Simplify one of your variables in terms of the other in any of the two equations

Here its easy to simplify y in equation (1)

2x-y=-7

2x=-7+y

2x+7 = y

y=2x+7 (3)

2. We replace the simplified equation into the other equation of the system for the simplified variable, in this case y

(3) in (2)

4x-(2x+7) =-4

4x -2x-7 = -4

2x = 7-4

2x = 3

x = 3/2 = 1.5 (4)

3. Repplace the value obtained in the explicit equation of the other variable in this case equation (3)

(4) in (3)

y = 2(1.5)+7 = 3+7 = 10

The system has solution (x,y)=(1.5,10)

You might be interested in

Of her book on Tuesday, and of her book on Wednesday,

Step2247 [10]

Answer: 9/10 of the book.

Step-by-step explanation:

1. Convert all of the fractions to have a common denominator. 6, 5, and 3 are all multiples of 30, so we can convert the fractions to 30ths.

1/6 = 5/30

2/5 = 12/30

1/3 = 10/30

2. Add the fractions together to find the whole amount of the book Joyce has read.

5/30 + 12/30 + 10/30 = 27/30

3. Simplify

27/30 -> 9/10

5 0

3 years ago

Read 2 more answers

Help me on Algebra it may look easy but to me it is hard

Zina [86]

It’s a 90 degree clockwise rotation as coordinates become (y,-x).

8 0

3 years ago

Lf f(x) = 5x, what is f^-1(x)?

Nonamiya [84]

Answer: $f^{-1}(x)=\frac{x}{5}$

Step-by-step explanation:

By definition the domain of an inverse function $f^-1(x)$ is the range of f(x) and the range of the inverse function is equal to the domain of the principal function f(x).

If you have a function $f(x)=5x$ , then to find the inverse function, follow these steps:

1. Make $y=f(x)$

$f(x)=y=5x$

$y=5x$

2. Solve for the variable "x":

$x=\frac{y}{5}$

3. Exchange the variable "x" with the variable "y":

$y=\frac{x}{5}$

4. Exchange "y" with $f^{-1}(x)$ . Then the inverse function is:

$f^{-1}(x)=\frac{x}{5}$

7 0

4 years ago

Find the horizontal and vertical asymptotes of f(x). f(x) equals = StartFraction 6 x Over x plus 2 EndFraction 6x x+2 Find the

miss Akunina [59]

Answer:

The horizontal asymptote can be described by the line y = 6

The vertical asymptote can be described by the line x = -2

Step-by-step explanation:

* Lets the meaning of vertical and horizontal asymptotes

- Vertical asymptotes are vertical lines which correspond to the zeroes

of the denominator of a rational function

- A horizontal asymptote is a y-value on a graph which a function

approaches but does not actually reach

- If the degree of the numerator is less than the degree of the

denominator, then there is a horizontal asymptote at y = 0

- If the degree of the numerator is greater than the degree of the

denominator, then there is no horizontal asymptote

- If the degree of the numerator is equal the degree of the denominator,

then there is a horizontal asymptote at y = leading coefficient of the

numerator ÷ leading coefficient of the denominator

* Lets solve the problem

∵ $f(x)=\frac{6x}{x+2}$

∵ The numerator is 6x

∵ The denominator is x + 2

∴ The numerator and the denominator have same degree

∵ The leading coefficient of the numerator is 6

∵ The leading coefficient of the denominator is 1

∴ There is a horizontal asymptote at y = 6/1

∴ The horizontal asymptote can be described by the line y = 6

- Put the denominator equal zero to find its zeroes

∵ The denominator is x + 2

∴ x + 2 = 0

- Subtract 2 from both sides

∴ x = -2

∴ The vertical asymptote can be described by the line x = -2

6 0

3 years ago

Read 2 more answers

The two-way table shows the number of students that would rather be a member of the band or chorus if they could only choose one

sergey [27]

Answer:

There are 18 students in Grade 7, 10 are in band, so 10/18 = 0.56 are in band.

There are 12 students in Grade 8, 10 are in band, so 10/12 = 0.83 are in band.

Students in Grade 8 are more likely to be members of the band.There are 18 students in Grade 7, 10 are in band, so 10/18 = 0.56 are in band.

There are 12 students in Grade 8, 10 are in band, so 10/12 = 0.83 are in band.

Students in Grade 8 are more likely to be members of the band.

4 0

3 years ago