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3 years ago

Solve for a.

Mathematics

2 answers:

FinnZ [79.3K]3 years ago

8 0

Answer:

iii) a=3b/2

Step-by-step explanation:

7a-2b= 5a+b

7a-5a=2b+b

2a=3b

a=3b/2

pychu [463]3 years ago

8 0

Answer:

$\large\boxed{a=\dfrac{3b}{2}=\dfrac{3}{2}b=1.5b}$

Step-by-step explanation:

$7a-2b=5a+b\qquad\text{add}\ 2b\ \text{to both sides}\\\\7a-2b+2b=5a+b+2b\\\\7a=5a+3b\qquad\text{subtract}\ 5a\ \text{from both sides}\\\\7a-5a=5a-5a+3b\\\\2a=3b\qquad\text{divide both sides by 2}\\\\\dfrac{2a}{2}=\dfrac{3b}{2}\\\\a=\dfrac{3b}{2}$

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