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QveST [7]
3 years ago
5

!!!!Pls help!!!!!

Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0

Answer:

(2,4) is a solution to this system of equations

Step-by-step explanation:

Given system of equation are

y=2x \hfill (1)

y=\frac{-1}{2}x+5\hfill (2)

To find the solution of the given system of equations

To Check that (2,4) is a solution to this system or not

Solving equations (1) and (2)

From equation (1) and y=2x

Now substitute y=2x is equation (2)

2x=\frac{-1}{2}x+5

\frac{-1}{5}x+5-2x=0

5-\frac{x}{2}-2x=0

5-\frac{x+4x}{2}=0

5-\frac{5x}{2}=0

\frac{10-5x}{2}=0

10-5x=0

-5x=-10

x=\frac{10}{5}

Substitute x=2 in equation (1)

y=2x

y=2(2)

Therefore y=4

Therefore the solution is (2,4)

Therefore (2,4) is a solution to the system of equations.

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A decorative steel is shown and it is made from circular circle and 6 stems.
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The total length of the steel used in the frame is 270 cm, if the decorative steel up of 6 stems and each stem is 45 cm.

Step-by-step explanation:

The given is,

           Decorative steel made from circular circle of 6 stems

           The length of the stem is 45 cm

Step:1

         We need to find the total length of the steel used in the decorative steel,

          Let,  T - Total length of the steel

                  L - Length of the stem

                  n - Number of stems used in steel frame

Step:2

       Formula to find the total length of the steel is,

                            T= l × n

       From given,

                  l = 45 cm

                 n = 6 stems

       Substitute the values in formula,

                          T = ( 45 × 6 )

                              = 270

                        T = 270 cm

Result:

         The total length of the steel used in the frame is 270 cm.

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