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3 years ago

2x+1=5x-8 Solving Equations with Many or No Solutions

Mathematics

2 answers:

Anna35 [415]3 years ago

8 0

Answer:

x = 3

Step-by-step explanation:

1. Write the equation

2x + 1 + 5x - 8

2. Add 8 on both sides

2x + 9 = 5x

3. Get the variables together

9 = 3x

4. Solve for x and divide both sides by 3

x = 3

aliina [53]3 years ago

3 0

Hello!

$\large\boxed{x = 3}$

2x + 1 = 5x - 8

Solve by subtracting both sides by 2x:

2x - 2x + 1 = 5x - 2x - 8

1 = 3x - 8

Add 8 to both sides:

1 + 8 = 3x - 8 + 8

9 = 3x

Divide both sides by 3:

9/3 = 3x/3

x = 3

You might be interested in

The equation (-2) (6x - 5)

Margaret [11]

Answer:

Step-by-step explanation:

Givens

(x - 1)(6x - 5) = 0

Solution

Either one of these can be made into 0 by solving the binomials in the brackets.

x - 2 = 0 Add 2 to both sides

x -2 +2= 0+2 Combine

x = 2

6x - 5 = 0 Add 5

6x -5+5 = 0+5 Combine

6x = 5 Divide by 6

6x/6=5/6

x = 5/6

Answer

Integer Answer: x = 2

Fractional Answer x = 5/6

7 0

1 year ago

(x^2-4x)^2+7x^2-28x+12=0

Valentin [98]

Answer:

$x^4-9x^2-28x=-12$

Step-by-step explanation:

$(x^2-4x)^2+7x^2-28x+12=0$

$(x^4-16x^2)+7x^2-28x=-12$

$x^4-9x^2-28x=-12$

7 0

3 years ago

What is the x-value of the solution to the system of equations?

ValentinkaMS [17]

Answer:

The solution to the system of equations is:

$x=4,\:y=-3$

Step-by-step explanation:

Given the system of equations

$5x + 4y =8$

$2x- 3y = 17$

solving the system of equations

$\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}$

$\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16$

$\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85$

$\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}$

$10x-15y=85$

$-$

$\underline{10x+8y=16}$

$-23y=69$

$\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}$

solve for y

$-23y=69$

Divide both sides by -23

$\frac{-23y}{-23}=\frac{69}{-23}$

$y=-3$

$\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3$

$10x+8\left(-3\right)=16$

$10x-24=16$

$10x=40$

Divide both sides by 10

$\frac{10x}{10}=\frac{40}{10}$

$x=4$

Thus, the solution to the system of equations is:

$x=4,\:y=-3$

7 0

2 years ago

What is the value of the expression (−2)^4(−2)^-1?

Morgarella [4.7K]

(-2)^4=16
(-2)^-1=-1/2
-1/2x16=-8
Answer: -8

7 0

2 years ago

If the system below were written as a matrix equation, by which matrix could you multiply both sides to obtain a solution?

ludmilkaskok [199]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Below are the choices:

A.
[8 -6] 
[-5 4] 
B. 
[4 -3] 
[-2.5 2] 
C. 
[-4 5] 
[6 -8] 
D. 
[-2 2.5] 
[3 -4]

B because it is the inverse of
(4 6) 
(5 8) 

Check 
(4.0 -3)(4 6) = (1 0) 
(-2.5 2)(5 8) = (0 1)

3 0

3 years ago