Ask question

Ask question

All categories

3 years ago

9

5x+3y=28 3x+y=12 please solve algebraically

1 answer:

Aleks04 [339]3 years ago

8 0

The answer is x= 2, y = 6

Solve for y in the second equation, so you have y= -3x + 12. Now plug that in for y in the first equation: 5x + 3( -3x +12) = 28.
Now simplify: 5x + -9x + 36 = 28: -4x = -8; so x = 2.
Now plug x=2 into either equation to solve for y:
3(2) + y = 12; 6 + y = 12; so y = 6

You might be interested in

mixas84 [53]

-3x = -3 because you would multiply one of the equations by -1 to eliminate y.

5 0

3 years ago

1. determine if the functions are inverse functions

kirill115 [55]

Answer:

<u>Question 1</u>

The function $f(x) = x + 6$ is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so $f^{-1}(x)=x-6$

Therefore, g(x) is the inverse of f(x).

<u>Question 2</u>

The function $f(x) = -3x -9$ is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

$\implies y = -3x -9$

Rearrange the equation to make x the subject:

$\implies y+9= -3x$

$\implies x=-\dfrac13(y+9)$

$\implies x=-\dfrac13y-3$

Replace x with $f^{-1}(x)$ and y with x:

$\implies f^{-1}(x)=-\dfrac13x-3$

Therefore, g(x) is the inverse of f(x).

5 0

2 years ago

Solve for x in the diagram below

ella [17]

Answer:

20

Step-by-step explanation:

3x + x + 100 = 180 (sum of angles on a straight line)

4x = 180-100

4x=80

divide both sides by 4

x=20

8 0

3 years ago

HELP asap plz<br><br> Solve 2y^2 – 3y = 2

sergejj [24]

Are you solving for x or y?

4 0

3 years ago

To which set or sets does -20 belong to, whole numbers, rational numbers or integers

Bad White [126]

It belongs to all of them.

4 0

3 years ago