What is a/b = 9/11 ,a+b=800 ?

The solution to a/b = 9/11 ,a+b=800 is

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a/b = 9/11 ,a+b=800

\frac{a}{b} = \frac{9}{11}, a + b = 800

(a = 360, b = 440)

Solution steps

[\frac{a}{b} = \frac{9}{11} a + b = 800]

Isolate

b

for

\frac{a}{b} = \frac{9}{11} : b = \frac{a \cdot 11}{9}

Plug the solutions

b = \frac{a 11}{9}

into

a + b = 800

For

a + b = 800

, subsitute

b

with

\frac{a 11}{9} : a = 360

Plug the solutions

a = 360

into

\frac{a}{b} = \frac{9}{11}

For

\frac{a}{b} = \frac{9}{11}

, subsitute

a

with

360 : b = 440

Verify solutions by plugging them into the original equations

Therefore, the final solution for

\frac{a}{b} = \frac{9}{11}, a + b = 800

(a = 360, b = 440)

x + y = 10, x - y = - 2

x - y = 5, x = 2 y + 1

7 x + 2 y = 24, 8 x + 2 y = 30

3 x + 2 y = 5, y - 5 = 4

p = \frac{17}{27}, q = \frac{3}{5}, r = \frac{41}{65}, s = \frac{121}{203}