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cricket20 [7]
3 years ago
12

Solve the simultaneous equations below. Show your work clearly,

Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Answer:

The solution of the given two equations

  ( x, y) = (0,6)

Step-by-step explanation:

<u><em>Step(i)</em></u>

Given equations are

                  y - 2x = 6  ...(i)

                 y + 2x = 6  ...(ii)

Adding (i) and (ii) equations, we get

          y - 2x + y +2x = 6+6

                2 y = 12

                  y =6

<u><em>Step(ii):-</em></u>

substitute y =6 in equation (i). we get

               y - 2x =6

              6 - 2x =6

              6-6 =2x

               0 = 2 x

               x = 0

The solution of the given two equations

  ( x, y) = (0,6)

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maksim [4K]

Answer:

a = 9

Step-by-step explanation:

you can simplify the proportion to:

\frac{a}{24} =\frac{3}{8}

use cross- multiplication

8a = 72

a = 9

5 0
2 years ago
A phone company charges $0.06 per minute for local calls and $0.15 per minute for international calls. When your bill comes, it
solmaris [256]
Let's assume two variables x and y which represent the local and international calls respectively. 

x + y = 852 = total number of minutes which were consumed by the company (equation 1)
0.06*x+ 0.15 y =69.84 = total price which was charged for the phone calls (Equation 2)
 from equation 1:-
x=852 -y (sub in equation 2)
0.06 (852 - y) + 0.15 y =69.84

51.12 -0.06 y +0.15 y =69.84 (subtracting both sides by 51.12)
0.09 y =18.74
y= 208 minutes = international minutes (sub in 1) 
208+x=852 (By subtracting both sides by 208)
x = 852-208 = 644 minutes = local minutes
6 0
3 years ago
What is the equation of the circle with center (−3, 1) that passes through the point (−5, 3)?
Mariulka [41]

Answer:

( x + 3)^2 + ( y - 1)^2 = 8

Step-by-step explanation:

The equation of a circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( x , y) - any point on the circle

( a, b) - center of the circle

r^2 - radius of the circle

( -3 , 1) - center - ( a, b)

a = -3

b = 1

( -5 , 3) - point - ( x, y)

x = -5

y = 3

Step 1: substitute the center into the equation

( x -(-3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + ( y - 1)^2 = r^2

Step 2 : sub the point into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( -5 + 3)^2 + ( 3 - 1)^2 = r^2

(-2)^2 + 2^2 = r^2

4 + 4 = r^2

8 = r^2

Step 3 : sub the radius into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + (y - 1)^2 = 8

Therefore, the equation of the circle is

( x + 3)^2 + (y - 1)^2 = 8

6 0
3 years ago
A circle is centered on point BBB. Points AAA, CCC and DDD lie on its circumference. If \orange{\angle ADC}∠ADCstart color #ffa5
tiny-mole [99]

Answer:

  122°

Step-by-step explanation:

The measure of the central angle is twice the measure of the inscribed angle that subtends the same arc.

  ∠ABC = 2×∠ADC = 2×61°

  ∠ABC = 122°

6 0
3 years ago
Read 2 more answers
amy has 72 Suites in a bag she keeps one fourth of them for herself and share the rest with their friends how many sweets will h
yKpoI14uk [10]
So,

If she keeps one-fourth for herself, she will keep:
72 * 0.25 = 18

That leaves the rest for her friends.
72 - 18 = 54

Her friends will get 54 "Suites."
8 0
3 years ago
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