All categories

3 years ago

4x-1 + 2x-1 = 5x how do I solve this problem?

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

Answer: 2=x

Step-by-step explanation:

4x-1 + 2x-1 = 5x

First combine like terms together

4x-1 + 2x-1 is 4x+2x-1-1

4x+2x-1-1 =6x-2

4x-1 + 2x-1=6x-2

6x-2=5x

The oppisite of 6x is -6x so -6x on both sides of equation to keep it balanced

6x-6x-2=5x-6x

0-2=-1x

-2=-1x

Divide both sides of the equation by -1 since -1 is being multiplied by x and the oppisite of multiply is divide

-2/-1=-1x=-1

2=x

You might be interested in

Complete the square 2x2- 12x+ 26 = 10

Mariana [72]

$2x^2-12x+26=10\ \ \ | subtract\ 10\\\\
2x^2-12x+16=0\ \ \ | divide\ by\ 2\\\\
x^2-6x+8=0\\\\
put\ into\ form:\ (x+d)^2+c=0\\
-6x=2xd\ \ \ | divide\ by\ x\\
d=-3\\
8=d^2+c\\
8=9+c\ \ \ | subtract\ 9\\
c=-1\\\\
After\ completing\ the\ square:\\
(x-3)^2-1=0$

4 0

3 years ago

Simplify the expression -1/8-2/7

SpyIntel [72]

the answer would be $-\frac{23}{56}$ because you would need to find the LCD, which in this case would be 56 and you solve from there.

4 0

3 years ago

Read 2 more answers

Solve this equation: X – 8 6 = 4.5 Your answer

barxatty [35]

Answer:

Multiply by 6 on both sides

X-8 = 27

add 8 to both sides

X = 35

Hope this helps

Double-checking

35 - 8 = 27

27 / 6 = 4.5

35 = X is the answer

Hope this helps

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our a is -4.9 and b is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

3 years ago

Read 2 more answers

Show how to use substitution or elimination to solve the following system of equations. Write the solution as an ordered pair.

max2010maxim [7]

Answer:

(4, 6)

Step-by-step explanation:

Substitution

Using the second equation, we can substitute for y in the first equation.

4x -(2x-2) = 10

2x +2 = 10 . . . . simplify

x +1 = 5 . . . . . . .divide by 2

x = 4 . . . . . . . . . subtract 1

y = 2(4) -2) = 6 . . . . substitute for x in the equation for y

The solution is (x, y) = (4, 6).

Elimination

Often, we like to start with both equations in standard form when we solve by elimination. That is nice, but not completely necessary.

We can eliminate the y-variable by simply adding the two given equations.

(4x -y) +(y) = (10) +(2x -2)

4x = 8 + 2x . . . . . collect terms. The y-variable has been eliminated.

2x = 8 . . . . . . . . . subtract 2x

x = 4 . . . . . . . . . . divide by 2

Y can be found using the second equation.

(x, y) = (4, 6)

We could have eliminated the x-variable by multiplying the second equation by 2, then adding the two equations.

(4x -y) +2(y) = (10) +2(2x -2)

y = 6 . . . . . . . . . subtract 4x from both sides. The x-variable has been eliminated.

Now, x can be found using either equation.

6 = 2x -2 . . . substitute for y in the second equation

3 = x - 1 . . . divide by 2

x = 4 . . . . . add 1

(x, y) = (4, 6)

3 0

3 years ago