IXL - Is (x, y) a solution to the system of equations? (Algebra 2 practice)

(

)

a solution to this system of equations?

9
x
+
y
=
10
6
x
+
5
y
=
11

yes

ref_doc_title.

Learn with an example

question

(

)

a solution to this system of equations?

5
x
+
7
y
=
17
3
x
+
y
=
7

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

(

)

2 is the

x-value

and 1 is the

y-value.

In the first equation, replace x with 2 and y with 1.

(

)

(

)

≟

Yes,

Now in the second equation, replace x with 2 and y with 1.

(

)

≟

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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Not feeling ready yet? These can help:

B.2Evaluate variable expressions involving integers

L.1Does (x, y) satisfy the linear equation?

Lesson: Systems of equations

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