MATH 11 Work Sheet No.7

Work Sheet No. 7
Direction: Solving the following rational equations. Show and check your
solution. Finally, BOX your FINAL ANSWER.



𝟐𝒙+𝟑 𝟕
1. =
𝒙 (𝒙+𝟐) 𝒙+𝟐
LCD: x(x+2)
2𝑥 + 3 7
[(𝑥(𝑥 + 2) ( )] = [( ) (𝑥(𝑥 + 2))]
𝑥(𝑥 + 2) 𝑥+2
2𝑥+3 7
[(𝑥 (𝑥 + 2) ( )] = [( ) (𝑥 (𝑥 + 2))]
𝑥(𝑥+2) 𝑥+2
2𝑥 + 3 = 7𝑥
2𝑥 + 3 − 3 = 7𝑥 − 3
2𝑥 = 7𝑥 − 3
2𝑥 − 7𝑥 = 7𝑥 − 3 − 7𝑥
2𝑥 − 7𝑥 = 3
5𝑥 = 3
5𝑥 3
=
5 5
3
𝑥=
5

𝒙+𝟐
2. =𝟒
𝟐
LCD: 2
𝑥+2
[(2) ( )] = [(4)(2)]
2
𝑥+2=8
𝑥 =8−2
𝑥=6



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