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4.2.2 Linear Equations I, PT3 Practice

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Question 6:
Solve each of the following equations:
(a) 5a−16=a(b) 6+23(−9p+12)=p


Solution:
(a)
5a−16=a5a−a=164a=16a=4

(b)
6+23(−9p+12)=p6−6p+8=p−6p−p=−8−6−7p=−14p=2


Question 7::
Solve each of the following equations:
(a) a−2=a5(b) b−34=2+b5

Solution:
(a)
a−2=a55a−2=a4a=2a=2

(b)
b−34=2+b55b−15=8+4b5b−4b=8+15b=23

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Question 8:
Solve each of the following equations:
(a) x=−24−x(b) y+54(4−2y)=−4

Solution:
(a)
x=−24−x2x=−24x=−12

(b)
y+54(4−2y)=−44y+20−10y=−16  (×4)−6y=−16−20−6y=−36y=6


Question 9:
Solve each of the following equations:
(a) 5p=8p−9(b) 3q=20−13q4

Solution:
(a)
5p=8p−95p−8p=−9−3p=−9p=3

(b)
3q=20−13q412q=20−13q12q+13q=2025q=20q=45