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stealth61 [152]
3 years ago
6

2(3x-1)-3x using the least number of terms

Mathematics
2 answers:
vfiekz [6]3 years ago
3 0

Answer:

<h2>3x - 2</h2>

Step-by-step explanation:

2(3x-1)-3x = 6x - 2 - 3x

                = (6x - 3x) - 2

               = 3x - 2

maw [93]3 years ago
3 0
If you’re asking to simplify the equation, the answer is 3x-2. Explanation: distribute the 2 on the outside of the parenthesis first to get (6x-2)-3x. You can remove the parenthesis now since there aren’t any terms trying to interact with the numbers inside the parenthesis. Now, add the like-variables (the x variables) and you should get 3x-2. Since there aren’t any more like-variables, the equation is completely simplified.
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Find the solution to the system of equations below.<br> 2y = 2x - 8<br> 2x + y = 5
ladessa [460]

Answer:

The solution to the system of equations is:

  • (x, y) = (3, -1)

The graph is attached below.

Step-by-step explanation:

Given the system of equations

2y = 2x - 8

2x + y = 5

Let us solve the system of equations using the elimination method

\begin{bmatrix}2y=2x-8\\ 2x+y=5\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}2y-2x=-8\\ y+2x=5\end{bmatrix}

Multiply y + 2x = 5 by 2:  2y + 4x = 10

\begin{bmatrix}2y-2x=-8\\ 2y+4x=10\end{bmatrix}

subtracting the equations

2y+4x=10

-

\underline{2y-2x=-8}

6x=18

solve 6x = 18 for x

6x=18

Divide both sides by 6

\frac{6x}{6}=\frac{18}{6}

simplify

x=3

For 2y - 2x = -8  plug in x = 3

2y-2\cdot \:3=-8

2y-6=-8

Add 6 to both sides

2y-6+6=-8+6

Simplify

2y=-2

Divide both sides by 2

\frac{2y}{2}=\frac{-2}{2}

Simplify

y=-1

Therefore, the solution to the system of equations is:

  • (x, y) = (3, -1)

The graph is attached below.

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