MATHEMATICS HIGH SCHOOL

how many solution exist for each system of equations?

3x-3y=-6

y=x+2

Answers

Answer 1
Answer: The second one is already in slope-intercept form.
We need to do a little work on the first one.

3x - 3y = -6

Subtract 3x from each side:

-3y = -3x - 6

Divide each side by -3 :

y = x + 2

That's the first equation. But when you unravel it like this, you find that
it's exactly the same as the second equation. Both of them represent
the same straight line on a graph.  If you graphed both of them, you'd
only see one line !

The 'solution' of a pair of equations is the point on a graph where their
lines cross.  There's no such point here, because each and every point
of the first equation is also a point of the second one. 

This pair (system) of equations has no solution.

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Simplify: 43-2[6+(3+2)]

Answers

43-2(11)=43-22=21

The answer is 21
Hey there, 43-2(6+5)=43-(2)(11)=43-22=21. Therefore, the answer is 21.

Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16feet. Which of the following equations gives the heighty, in feet, of the tree after x years if the tree grows at
a constant rate? Check all of the boxes that apply.
y - 6 =3(x - 10)
y-16 = 3(x-9)
y = 3x - 11
y=-3x - 23

Answers

I'm not good in this but.....

x = years

9x-6x = 16-7

3x = 9

x = 3

That means the tree will grow three feet per year.

Solve the equation for x.
3(6x - 1) = 12

Answers

Answer:

soln

18x-3=12

18x=15

so,x=5/6

If RS = 12 and ST = 7, find RT. U

Answers

Answer:

Answer is 19

Step-by-step explanation:

Add 12 and 7 and you will get the Answer 19.

Hope this helps.

9. 1/3(x+6) =815. 1/5(x+10)=6

20. 1/8(24x+32)=10

32. 5-1/2(x-6)=4

33.2/3(3x-6)=3

Answers

9.       ¹/₃(x + 6) = 8
    ¹/₃(x) + ¹/₃(6) = 8
           ¹/₃x + 2 = 8
                  - 2  - 2
            3 · ¹/₃x = 6 · 3
                     x = 18

15.       ¹/₅(x + 10) = 6
      ¹/₅(x) + ¹/₅(10) = 6
                ¹/₅x + 2 = 6
                       - 2  - 2
                 5 · ¹/₅x = 4 · 5
                         x = 20

20.       ¹/₈(24x + 32) = 10
      ¹/₈(24x) + ¹/₈(32) = 10
                     3x + 4 = 10
                           - 4   - 4
                           3x = 6
                            3     3
                             x = 2

32.        5 - ¹/₂(x - 6) = 4
      5 - ¹/₂(x) - ¹/₂(-6) = 4
              5 - ¹/₂x + 3 = 4
              5 + 3 - ¹/₂x = 4
                    8 - ¹/₂x = 4
                 - 8            - 8
                -2 · (-¹/₂x) = -4 · (-2)
                             x = 8

33.      ²/₃(3x - 6) = 3
     ²/₃(3x) - ²/₃(6) = 3
                2x - 4 = 3
                    + 4 + 4
                     2x = 7
                      2     2
                       x = 3¹/₂
9.
х+6=8÷1/3
х+6=8×3/1
х+6=24
х=24-6
х=18

15.
х+10=6÷1/5
х+10=6×5/1
х+10=30
х=30-10
х=20

20.
24х+32=10÷1/8
24х+32=10×8/1
24х+32=80
24х=80-32
24х=48
х=48÷24
х=2

if 3 times a number added to 2 is divided by the number plus 9 the result is 5 halves. find the number

Answers

Answer:

2/7

Step-by-step explanation:
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