Answer:
(0,−2),(1,−
1/
2
),
(
2
,
4
)
Step-by-step explanation:
a
+
2
a
+
5
=
b
3
Solve the equation for y
.
Find the LCD of the terms in the equation.
3
(
a
+
5
)
Multiply each term in
a
+
2
a
+
5
=
b
3 by 3
(
a
+
5
)
to eliminate the fractions.
3
a
+
6
=
b
a
+
5
b
Solve the equation.
a
=
5
b
−
6
3
−
b
Choose any value for b that is in the domain to plug into the equation.
Choose 0 to substitute in for b to find the ordered pair.
Simplify
5
(
0
)
−
6
3
−
(
0
)
.
a
=
−
2
Use the b and y values to form the ordered pair.
(
0
,
−
2
)
Choose 1 to substitute in for b to find the ordered pair.
Simplify
5
(
1
)
−
6
3
−
(
1
)
.
a
=
−
1
/2
Use the b and y values to form the ordered pair.
(1,−1/2)
Choose 2 to substitute in for b to find the ordered pair.
(2,4)
These are three possible solutions to the equation.
(0,−2),(1,−
1/
2
),
(
2
,
4
)
