Ask question

Ask question

All categories

2 years ago

8

What is the reason for each step in the solution of the equation? 18−2x=4x

2 answers:

Gekata [30.6K]2 years ago

6 0

You want to get all the x's on one side of the equation so add 2x to both sides of the equation. 4x + 2x = 6x. now you want to get the x by itself so dived both sides of the equation by 6. 18 = 6x, 18/6 = x, x = 3

Reika [66]2 years ago

3 0

In order to solve an equation for a certain variable, you should isolate that variable on one side of the equation and leave all the other terms on the other side on the equation.
The, you solve to get the value of the variable.

The equation we have here is:
<span>18−2x=4x
First, we need to isolate the terms containing the "x" on one side of the equation. To do this, we will add 2x to both sides of the equation:
</span><span>18−2x+2x=4x+2x
18 = 6x
Now, we need to get the value of the "x". To do this, we will simply divide both sides of the equation by 6:
18/6 = 6x/6
3 = x .............> This is the solution of the equation</span>

You might be interested in

Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

<u>Given:</u>

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

<u>Solve for </u> $x$ <u> in the 1st equation:</u>

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

<u>Substitute the value of </u> $x$ <u> into the 2nd equation and solve for </u> $z$ <u>:</u>

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

<u>Substitute the value of </u> $z$ <u> into the 3rd equation and solve for </u> $y$ <u>:</u>

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

<u>Plug </u> $y=3$ <u> into the solved expression for </u> $z$ <u> and evaluate to solve for </u> $z$ <u>:</u>

$z=16-7(3)$

$z=16-21$

$z=-5$

<u>Plug </u> $z=-5$ <u> into the solved expression for </u> $x$ <u> and evaluate to solve for </u> $x$ <u>:</u>

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

3 years ago

Plz Help With This Math Brainliest First Person

In-s [12.5K]

Answer:

∠L = 54°

Step-by-step explanation:

5x + 2x + 3x = 180 (all angles in a triangle add up to 180)

10x = 180

x = 18°

∠L = 3x

sub x = 18

3(18) = 54

∠L = 54°

4 0

3 years ago

What is the simplified form of 1/x-1/y/1/x+1/y

Svetradugi [14.3K]

Is this the expression to simplify?

8 0

3 years ago

The explicit and recursive formula for 3 12 48 192

iren2701 [21]

An=3*(4^(n-1)) is the explicit
the recursive is <span>t_n = 4 * t_(n-1)</span>

8 0

2 years ago

emmasim [6.3K]

Answer:

A.

Step-by-step explanation:

y=mx + b where m is the slope and b is the y-intercept. So substituting 4/5 for m and 5 for b, you get answer A.

4 0

2 years ago