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what is the solution of the system 2x - y=1 and 2y + x=3?​

Sagot :

Answer:

Oct 15, 2017

See a solution process below:

Explanation:

For each of the equations solve the equation for two points:

Equation 1:

For

x

=

0

:

(

2

0

)

+

y

=

1

0

+

y

=

1

y

=

1

or

(

0

,

1

)

For

x

=

2

:

(

2

2

)

+

y

=

1

4

+

y

=

1

4

4

+

y

=

1

4

0

+

y

=

3

y

=

3

or

(

2

,

3

)

Equation 2:

For

y

=

0

:

x

+

(

2

0

)

=

2

x

+

0

=

2

x

=

2

or

(

2

,

0

)

For

x

=

0

:

0

+

2

y

=

2

2

y

=

2

2

y

2

=

2

2

y

=

1

or

(

0

,

1

)

Graph Equation 1 by plotting the two points and drawing a straight line through them:

graph{(x^2+(y-1)^2-0.03)((x-2)^2+(y+3)^2-0.03)(2x + y - 1)=0}

Add the graph Equation 2 by plotting the two points and drawing a straight line through them:

graph{(2x + y - 1)((x+2)^2+y^2-0.03)(x^2+(y+1)^2-0.03)(x+2y+2)=0}

Solution:

graph{(2x + y - 1)(x+2y+2)((x-1.3333333333)^2+(y+1.666666667)^2-0.0025)=0 [-2, 2, -2, 0]}

Or

(

8

3

,

5

3

)