Math, asked by marshmallow216, 2 months ago

Solve the system and give the solution.
2x + 8y = 6
5x + 20y = 15

Answers

Answered by zadymiller
0

Answer:

15

Step-by-step explanation:

This system of equation doesn't have any solutions.

Explanation:

2

x

+

8

y

=

6

5

x

20

y

=

15

Let's simplify these equations: divide the first one by

2

andd the second by

5

:

x

+

4

y

=

3

x

+

4

y

=

15

Now, using any of the equations, we must express one variable by the other, let's say

x

by

y

from the second equation:

x

=

15

4

y

Using this we solve the other equation:

x

+

4

y

=

3

15

4

y

+

4

y

=

3

15

=

3

We got

15

=

3

which obviously isn't true so this equation has no solution. It follows that this system of equation doesn't have any solutions as well.

Answer link

EZ as pi

Nov 19, 2016

x

can have any value and the equations will work.

The y- values will depend on the x chosen.

Explanation:

2

x

+

8

y

=

6

      and      

5

x

20

y

=

15

There are different options available to solve the equations.

 

elimination

 

substitution

single variable

 

equating

   

matrices

 

graphically

To be able to use substitution, a single variable in one of the equations is a useful indicator

2

x

+

8

y

=

6

 

÷

2

   

x

+

4

y

=

3

Make x the subject of the equation:

x

=

3

4

y

Replace

x

in the second equation by

(

3

4

y

)

 

5

x

20

y

=

15

×

×

5

(

3

4

y

)

20

y

=

15

15

+

20

y

20

y

=

15

15

=

15

x

can have any value

Answer link

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