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Goryan [66]
3 years ago
6

Solve by Elimination b) -4x+2y=-4 4x-5y=-8

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:

x = 3

y = 4

Step-by-step explanation:

-4x+2y=-4   -----(eq1)

4x-5y=-8 ------(eq 2)

by elimination,

(eq1) + (eq 2),

(-4x+2y) + (4x-5y) = -4 + (-8)

-4x+2y + 4x-5y = -4 -8

2y-5y = -12

-3y = -12   (divide both sides by -3)

y = -12 / (-3) = 12/3 = 4  (sub back into (eq 1) )

-4x+2y=-4   -----(eq1), when y = 4,

-4x+2(4)=-4  

-4x+8 = -4    (subtract 8 from both sides)

-4x= -4   - 8

-4x= -12 (divide both sides by -4)

x = -12 / (-4) = 3

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Rus_ich [418]

Answer:

  1.   CI = P (1 + \frac{r}{100} )^ n - P

        CI = A - P

      Where P is Principal

      R is interest rate

      n is number of years

   2. a. Semi annually - four times in a year

       b. Monthly           -  two times in a year

       c.  annually          -  once in a year

Step-by-step explanation:

1.  Money is said to be lent at compound interest , when the interest has become due at certain fixed period say, one year, half year, etc.., is given not paid to money lender, but is added to sum lent . The amount thus obtained become principal for next month and this process repeat until last period .

i.e CI = Final period - Initial period

or CI = A - P

or CI = P(1+ \frac{r}{100}) ^n - P

2. (a) Semi annually

        A = P (1 + \frac{r}{4 * 100} )^ n × 4

   (b)  Monthly

       A = P (1 + \frac{r}{2 * 100} ) ^ n × 2

   

   (c)  Annually

       A = P (1 + \frac{r}{100} ) ^ n

3 0
4 years ago
What’s the linear equation for (1,21)(2,33)(3,45)(4,57)
nalin [4]

The linear equation representing the above said pair of points is "y=12x+9"

Step-by-step explanation:

The given set of points are  

x Y

1 21

2 33

3 45

4 57

For finding the linear equation for the given sets of value

We must know the generic form of a linear equation is y=m*x + c

m= slope of the line where y= Δy/Δx  

Δy= change in y value

Δx= change in x value

Thus slope ”m” = 33-21/2-1 = 12

we put slope “m” in the equation which becomes y=12x+c

Now we put any of the set value in the equation

33= 12*2+c ∴ c=9

Hence required linear equation is y=12x+9

7 0
3 years ago
How many solutions does the following equation have? 10x-1=10x+4
zimovet [89]
  • Your answer is no solution.
  • Because if we transpose 10x to the left hand side with a change in the symbol, then it will become 0.
  • 10x - 1 = 10x +4
  • or, 10x - 10x = 4 + 5
  • or, 0 = 9
  • Hence, the equation has <em><u>no solution</u></em>.

Hope you could get an idea from here.

Doubt clarification - use comment section.

7 0
3 years ago
Read 2 more answers
Explanation please will give brainliest.​
Sonja [21]

Answer:

AC = 28

Step-by-step explanation:

Given

AB = 16

BC = 12

Required

Determine AC

Since A, B and C are collinear, then:

AC = AB + BC

So, we have:

AC = 16 + 12

AC = 28

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