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salantis [7]
4 years ago
10

What is the solution for x in the equation -4+5x-7=10+3x-2x in a fraction

Mathematics
1 answer:
Alex4 years ago
5 0

Answer:

x = 21/4

Step-by-step explanation:

re-arrange the equation

-4+5x-7-3x = 10-2x (move 3x to the other side)

-4+5x-7-3x+2x = 10 (move 2x to the other side)

5x-7-3x+2x = 10+4 (move 4 to the other side)

5x-3x+2x = 10+4+7 (move 7 to the other side)

4x = 21 (add up both sides)

x = 21/4 (divide both sides by 4

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scoundrel [369]

this one is correct.

See attached

8 0
4 years ago
Solve the system by the elimination method. -2x + y + 6 = 0 2x + y - 8 = 0 When you eliminate x, what is the resulting equation?
Dmitry [639]

I see you want to solve    -2x + y + 6 = 0 2x + y - 8 = 0    simultaneously.  Next time, please put each equation on its own line, like this:

-2x + y + 6 = 0

 2x + y - 8 = 0

or separate the two equations with "and" or some other symbol.

We can easily eliminate x by adding these 2 equations together:

-2x + y + 6 = 0 

 2x + y - 8 = 0

-------------------

       2y - 2 = 0, which yields y = 1.    This is the equation called for in this problem.                             You were not asked to find x.

5 0
4 years ago
Read 2 more answers
A piece for a board game is shaped like a triangular prism. The piece is 18 millimeters long. The base of the piece is an equila
Bogdan [553]
We can solve for the surface area of the triangular prism using the formula below:
SA=bh + (s1+s2+s3) H
where b for the base, h and H for the height while s1, s2 and s3 for the length of the sides of the equilateral triangles.
Solution is shown below:
SA=10*9+(10*10*10) *18
SA=90+(1000*18)
SA=1,620,000 u²
6 0
3 years ago
Select the polynomial that is a perfect square trinomial. 36x2 − 4x 16 16x2 − 8x 36 25x2 9x 4 4x2 20x 25.
Naya [18.7K]

The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.

The given polynomial is

a) 36x^2-4x+16

What is the form of perfect square polynomial?

(ax+b)^2

we solve this method by using perfect square method

add and subtract 1/9

36x^2-4x+16+\frac{1}{9}-\frac{1}{9}

factor 36

\frac{143}{9}+36(x^2-\frac{x}{9}+\frac{1}{324} )

Now complete the square

\frac{143}{9}+36(x^2-\frac{1}{18})^2

Therefore this is not perfect square trinomial.

Similarly for

b) 16x^2-8x+36

Complete square is,

16(x-\frac{1}{4})^2+35

This polynomial is also not perfect square trinomial.

c) 25x^2+9x+4\\

complete square is,

25(x+\frac{9}{50})^2+\frac{319}{100}

This polynomial is not perfect square trinomial.

d)4x^2+20x+25\\

complete square is,

(2x+5)^2

This polynomial is perfect square trinomial.

Therefore,

The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.

To learn more about perfect square trinomial visit:

brainly.com/question/1538726

3 0
2 years ago
If the point (x, y) is on the small rectangle, then which point must be on the large rectangle?
ANTONII [103]
<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. This question is incomplete but I'm going to help you assuming some things:

  • The small rectangle is built up by the x and y-axis and the point (x,y)=(6,4)

  • The large rectangle is built up by the x and y-axis and the point that follows the rule:

(x',y')\rightarrow (x+4,y+4)

For the small rectangle, the vertices are:

A(0,0) \\ \\ B(6,0) \\ \\ C(6,4) \\ \\ D(0,4)

Therefore, if (6,4) lies on the small rectangle, for the large rectangle we have:

(x',y')=(6+4,4+4)=(10,4)

In conclusion:

If point (6,6) lies on the small rectangle, then (10,4) lies on the large rectangle.

6 0
3 years ago
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