IXL | Is (x, y) a solution to the system of equations?

(

)

a solution to this system of equations?

8
x
+
y
=
9
6
x
+
12
y
=
18

yes

ref_doc_title.

Learn with an example

question

(

)

a solution to this system of equations?

y
=
x
+
6
y
=
2
x
+
2

yes

key idea

A point is a solution to a system of equations if plugging the point into each equation results in a true statement.

solution

In the ordered pair

(

)

4 is the

x-value

and 10 is the

y-value.

In the first equation, replace x with 4 and y with 10.

≟

Yes,

Now in the second equation, replace x with 4 and y with 10.

≟

(

)

≟

Yes,

Plugging

(

)

into each equation resulted in a true statement. So,

(

)

is a solution to the system of equations.

Looking for more? Try these:

Lesson: Systems of equations

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AA.1Is (x, y) a solution to the linear equation?

Lesson: Systems of equations

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