Can someone please help me if possible Thank you ❤

8x+4(x-3)=4(6x+4)-4 please help

kvasek [131]

Answer:

x = -2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8x + 4(x - 3) = 4(6x + ) -4

8x +(4)(x) + (4)(-3) = (4)(6x) + (4)(4) + -4 (distribute)

8x + 4x + -12 = 24x + 16 + -4

(8x) + (4x) +(-12) = (24x) + (16 + -4) (combine like terms)

12x + -12 = 24x + 12

12x -12 = 24x + 12

Step 2: Subtract 24x from both sides.

12x -12 -24x = 24x + 12 -24x

-12x -12 = 12

Step 3: Add 12 to both sides.

-12x - 12 + 12 = 12 + 12

-12x = 24

Step 4: Divide both sides by -12.

-12x/-12 = 24/-12 <u>x = -2</u>

HOPE THIS HELPED!!!

5 0

3 years ago

Here is an inequality: 7x+6/2 < 3x +2

Archy [21]

Answer:

x=1

Step-by-step explanation:

7 0

2 years ago

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x-y=

Bond [772]

Answer:

The system of linear equations has infinitely many solutions

Step-by-step explanation:

Let's modified the equations and find the answer.

Using the first equation:

$2x-y=5$ we can multiply by 2 in both sides, obtaining:

$2*(2x-y)=2*5$ which can by simplified as:

$4x-2y=10$ which is equal to:

$4x=2y+10$

Considering the second equation:

$=4x+ky=2$

Taking into account that from the first equation we know that: $4x=2y+10$ , we can express the second equation as:

$2y+10+ky=2$ , which can be simplified as:

$(2+k)y=2-10$

$(2+k)y=-8$

$y=-8/(2+k)$

Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:

$2+k=0$ if $k=-2$

This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.

For example, if k=0 then

$y=-8/(2+0)$ which give us y=-4, and, because:

$4x=2y+10$ if y=-4 then $x=(-8+10)/4=0.5$

Now let's try with k=-1, then:

$y=-8/(2-1)$ which give us y=-8, and, because:

$4x=2y+10$ if y=-8 then $x=(-16+10)/4=-1.5$ .

Then, the system of linear equations has infinitely many solutions

8 0

3 years ago

Suppose you start with a full tank of gas (14 gallons) in your truck. After driving 4 hours, you now have 2

Alex73 [517]

Answer:

a) -3 gallons per hour

b) y = -3x +14

Step-by-step explanation:

Rate of change is computed by dividing the amount of change by the interval over which it occurred.

Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.

__

The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...

y = -3x +14 . . . . gas in the tank after x hours

4 0

1 year ago

The gas tank on a car holds 15.5 gallons. If the car goes 387.5 miles on a single tank, how many miles per gallon does the car g

Ostrovityanka [42]

Answer:

25 miles per gallon

Step-by-step explanation:

if you divide the number of miles(387.5) by the number of gallons (15.5) you should get 25miles per gallon

5 0

3 years ago