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sasho [114]
3 years ago
6

Solve the following equation 2(2x +1) - 3(x - 1) = 8

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
8 0

Answer:

The value of x is 3

Step-by-step explanation:

First, you must expand everything:

2(2x+1) - 3(x-1) = 8

2(2x)+2(1) - 3(x)+3(1) = 8

4x + 2 - 3x + 3 = 8

x + 5 = 8

Then, move all the unknown value to one side:

x = 8 - 5

= 3

stiv31 [10]3 years ago
5 0

Answer: x=3

Step-by-step explanation:

From the equation, open the bracket to give

4x + 2- 3x + 3= 8

Combine like terms

4x-3x= 8-3-2

x=8-5

x=3

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Find an equation of the line that passes through the points (-0.5,0.75) and (0.75,-0.5)
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The equation of the line can be shown using the slope intercept form that is

y= mx+b

where m is the slope and b is the y intercept

So firstly we have to find the value of slope m

To find the value of slope m we apply the formula

m= \frac{( y_{2} - y_{1})}{( x_{2} - x_{1})}

So we can plug the values using the two given points

(-0.5,0.75) and (0.75,-0.5)

m= \frac{(-0.5-0.75) }{(0.75-(-0.5))} = \frac{-1.25}{1.25} = -1

So m = -1

Plug m=-1 in the equation we get

y= -1x +b

Now we have to find the value of b

to find the value of b , we plug any one pint in the equation

0.75 = -1(-0.5) +b

0.75 = 0.5 +b

Subtract 0.5 from both sides

0.25 = b

or

b= 0.25

Now plug the value of b , in the equation

we get

y = -1x +0.25

hence the equation of the line is y = -1x +0.25

8 0
3 years ago
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