The ordered pair (2,-5) is a solution to which of the following systems of equations

The ordered pair will simply be the point at which these two lines cross. We solve the equations as simultaneous equations.

The solution is the point

(

−

6

,

−

11

)

Explanation:

We solve the set of two equations as simultaneous equations.

Call this Equation 1:

y

=

2

x

+

1

Call this Equation 2:

y

=

x

−

5

Rearrange Equation 2 to make

x

the subject:

x

=

y

+

5

Substitute this value of

x

into Equation 1:

y

=

2

(

y

+

5

)

+

1

=

2

y

+

10

+

1

=

2

y

+

11

Rearranging:

−

y

=

11

y

=

−

11

We can substitute this into either equation to find the value of

x

:

x

=

−

6

That means the intersection of the lines is at the point

(

−

6

,

−

11

)

.

Step-by-step explanation:

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step-by-step explanation:

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