example 4 solve proportions solution a. 5 10 x 16 = multiply. divide each side by 10. a. 5 10 x 16 =...
TRANSCRIPT
EXAMPLE 4 Solve proportions
SOLUTION
a. 510
x16=
Multiply.
Divide each side by 10.
a. 510
x16=
= 10 x5 16
= 10 x80
= x8
Write original proportion.
Cross Products Property
Solve the proportion.ALGEBRA
EXAMPLE 4 Solve proportions
Subtract 2y from each side.
1y + 1
23y
b. =
= 2 (y + 1)1 3y
= 2y + 23y
=y 2
Distributive Property
SOLUTION
b. 1y + 1 = 2
3y
Write original proportion.
Cross Products Property
GUIDED PRACTICE for Example 4
5. 2 x
5 8=
SOLUTION
Write original proportion.
Cross Products Property
Multiply.
Divide each side by 5 .
2 x
5 8=
= 5 x2 8
= 5 x16
=x 16 5
GUIDED PRACTICE for Example 4
6. 1x – 3
43x=
SOLUTION
Write original proportion.
Cross Products Property
Multiply.
Subtract 4x from each side.
1x – 3
43x=
3x 4(x – 3)=
3x 4x – 12=
3x – 4x – 12=
– x = – 12
x = 12
GUIDED PRACTICE for Example 4
7.
y – 3 7
y14=
SOLUTION
Write original proportion.
Cross Products Property
Multiply.
Subtract 7y from each side and add 42 to each side.
14y – 42 7y=
14y – 7y 42=
y = 6
y – 3 7
y14=
=14(y – 3) 7 y
Subtract , then divide