Use substitution to solve -2x+y=-1 and x-y=1

Step-by-step Explanation:

x

+

y

=

1

x

+

y

−

y

=

1

−

y

So

x

=

1

−

y

Substitute this x-value into the second equation.

(

1

−

y

)

−

y

=

2

1

−

2

y

=

2

1

−

2

y

−

1

=

2

−

1

−

2

y

=

1

−

2

y

−

2

=

1

−

2

y

=

−

0.5

Substitute this answer into the original formula

x

+

(

−

0.5

)

=

1

x

+

(

−

0.5

)

+

(

0.5

)

=

1

+

(

0.5

)

x

=

1.5

Check by substituting into the second formula.

1.5

−

(

−

0.5

)

=

2

2

=

2

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.