Question

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

Answer 1

Answer:

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: