4a-5b:5a+4b=1:3 then find the value of a:b

Mathematics

2 answers:

aleksley [76]3 years ago

7 0

Answer:

a : b = 19 : 7

Step-by-step explanation:

Given

4a - 5b : 5a + 4b = 1 : 3

Expressing in fractional form, that is

$\frac{4a-5b}{5a+4b}$ = $\frac{1}{3}$ ( cross- multiply )

3(4a - 5b) = 5a + 4b ← distribute left side

12a - 15b = 5a + 4b ( subtract 5a from both sides )

7a - 15b = 4b ( add 15b to both sides )

7a = 19b ( divide both sides by 7 )

a = $\frac{19}{7}$ b ( divide both sides by b )

$\frac{a}{b}$ = $\frac{19}{7}$

That is a : b = 19 : 7

kotykmax [81]3 years ago

7 0

Answer:

Step-by-step explanation:

4a-5b:5a+4b=1:3

4a-5b/5a+4b=1:3cross multiply

3(4a-5b)=1(5a+4b)

12a-15b=5a+4b

Collect like terms

12a-5a=4b+15b

7a=19b

a:b=7:19

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11Alexandr11 [23.1K]

Hey there!

You got the first part right where you added r to both sides. However, you need to make sure that you complete all actions on both sides, including canceling out parts of terms by division. The only thing you need to do is divide both sides by h instead of just the left. This will make your answer:

$y = \frac{b+r}{h}$

Hope this helped you out! :-)

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