Question

2/5a - b = 7/5
a-2/3b = 8/3
​

Answer 1

Given :-

$→\frac{2}{5} a - b = \frac{7}{5}$

$→a - \frac{2}{3} b = \frac{8}{3}$

To Find :-

Value of a and b.

$\rule{200}{1}$

Solution :-

By polynomial 1 →

$→ \frac{2}{5} a - b = \frac{7}{5} \\ \\ → \frac{2a - 5b}{5} = \frac{7}{5} \\ \\→ 2a - 5b = 7 \\→ 2a = 7 + 5b \\ →a = \frac{7 + 5b}{2} - - - - (i)$

$\rule{200}{1}$

By the polynomial 2 →

$</strong><strong>→</strong><strong>a - \frac{2}{3} b = \frac{8}{3} \\ \\ </strong><strong>→</strong><strong> \frac{3a - 2b}{3} = \frac{8}{3} \\ \\ </strong><strong>→</strong><strong>3a - 2b = 8$

Now substitute the value of a from (i) -

$→3 \times \frac{7 + 5b}{2} - 2b = 8 \\ \\ → \frac{21 + 15b}{2} - 2b = 8 \\ \\ →\frac{21 + 15b - 4b}{2} = 8 \\ \\ → 21 + 11b = 16 \\→ 11b = 16 - 21 \\ →11b = - 5 \\→ \boxed{\red{b = - \frac{5}{11}}}$

$\rule{200}{1}$

Substitute the value of b into (i) :-

$→a = \frac{7 + 5b}{2} \\ \\→ a = \frac{7 + 5 \times ( - \frac{5}{11} )}{2} \\ \\→ a = \frac{7 - \frac{25}{11} }{2} \\ \\ →a = \frac{ \frac{77 - 25}{11} }{2} \\ \\ →a = \frac{52}{22} \\ \\ →\boxed{\red{a = \frac{26}{11}}}$

$\rule{200}{1}$

Thus, the values of a and b are 26/11 and (-5/11).

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Answer 2

Answer:

b=-5/11 a=26/11

Step-by-step explanation:

I hope so you can understand