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3 years ago

Solve for x: 4x - 8 = 7x - 2Anyone know the answer for this one?Thanks!

Mathematics

1 answer:

erastovalidia [21]3 years ago

3 0

Answer:

$\huge{ \fbox{ \tt{x = - 2}}}$

Step-by-step explanation:

$\underline{ \underline{ \mathfrak{Let's \: solve}}} :$

$\star{ \sf{ \: \: 4x - 8 = 7x - 2}}$

$\text{Step \: 1} : \sf{Move \: 7x \: to \: left \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \sf{4x - 7x - 8 = - 2}}$

$\text{Step \: 2} : \sf{Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \sf{4x - 7x = - 2 + 8}}$

$\text{Step \: 3} : \sf{Collect \: like \: terms}$

$\sf{Like \: terms \: are \: those \: which \: have \: same \: base}$

$\mapsto{ \sf{ - 3x = - 2 + 8}}$

$\text{Step \: 4} : \sf{Calculate}$

$\underline{ \text{Remember!}} : \sf{The \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}$

$\mapsto{ \sf{ - 3x = 6}}$

$\text{Step \: 4} : \sf{Divide \: both \: sides \: by \: - 3}$

$\mapsto{ \sf{ \frac{ - 3x}{ - 3} = \frac{6}{ - 3}}}$

$\text{ Step \: 4} : \sf{Calculate}$

$\mapsto{ \sf{x = - 2}}$

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

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Julli [10]

Answer:

D. (6,3)

Step-by-step explanation:

To the find which point can be located on the line you will have to find the point-slope form

The formula for point-slope form is y=mx+b

m is slope

b is y-intercept

Since we already know the slope we can just replace it:

y=1/2x+b

Now we need to find the y-intercept

We can do this by distributing them with (4,2)

As you remember in point the digits are in x and y

(x,y) so we can tell that 4 is x and 2 is y

Now we can substitute x with 4 and y with 2

2=1/2(4)+b

Multiply 1/2 and 4

which is 2

2=2+b

Thus b=0

So the slope intercept form is y=1/2x

Now we can substitute the other points:

For (5,2):

2=5/2

Which is incorrect since 2 does not equal 5/2

For (2,3):

3=1/2(2)

Which is

3=1

Which is incorrect since 3 does not equal 1

For (3,4)

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Which is

4=3/2

Which is incorrect since 4 does not equal 3/2

For (6,3)

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Which is

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Which is correct since 3 does equal to 3

Hope this helps!

8 0

2 years ago

aul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt

vodomira [7]

Set up a system of equations:

$\text{Total shirts bought}$

$x + y = 9$

$\text{Total cost}$

$10x + 7y = 72$

x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.

For the first equation, subtract y from both sides to get x by itself:

$x = 9 - y$

We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:

$10(9-y) + 7y = 72$

Distribute the 10 to both terms in parentheses:

$10 \times 9 = 90$

$10 \times -y = -10y$

$90 - 10y +7y = 72$

Combine like terms:

$-10y + 7y = -3y$

$90 - 3y = 72$

Subtract 90 from both sides:

$-3y = -18$

Divide both sides by -3 to get y by itself:

$y = 6$

6 long sleeve shirts were bought.

Now you have a value for y. Input this value into the first equation:

$x + 6 = 9$

Subtract both sides by 6 to get x by itself:

$x = 3$

3 tee shirts were bought.

The answer is B. 3 tee shirts and 6 long sleeve shirts.

4 0

3 years ago

Read 2 more answers

3x = 0.5.2 x = -6 or x = 0 x = -4 or x = 3 x = -2 or x = 1.5 x = 0 or x = 6

tiny-mole [99]

that is unsolvable coz no double decimal can be used

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2 years ago

2(3x-7)=34 please help

IrinaK [193]

Answer:

x=8

Step-by-step explanation:

2*3x=6x

2*-7=-14

6x-14=34

6x+14=34+14

6x=48

6x/48

x=8

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3 years ago

The seniors on the student council bought a total of 36 plants to use in landscaping the front of the school. They bought some a

Artyom0805 [142]

Answer: B

Step-by-step explanation:

y = azaleas

x = lilies

6y + 5x =196 total cost

y + x = 36 total number of items

y = 36 – x

6(36 -x ) +5x =196

216 – 6x + 5x = 196

-x = 196 – 216

-x = -20

Divide by -1

X = 20 lilies

Plug into y equation

Y = 36 – 20

Y= 16 azaleas

To check

6(16) + 5(20) = 196

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3 years ago

Read 2 more answers

Solve for x: 4x - 8 = 7x - 2Anyone know the answer for this one?Thanks!​

Solve for x: 4x - 8 = 7x - 2Anyone know the answer for this one?Thanks!