Question

Choose the correct answer which satisfies the linear equation: $2a+5b=13$ and $a+6b=10$

• A. $(4,-1)$
• B. $(4,1)$
• C. $(-4,-1)$
• D. $(-4,1)$

Answer 1

Answer: (B)

$(4,1)$

Given,

$2a+5b=13$ .........................1

$a+6b=10$ ..........................2

now, from eq. 2

$a=10-6b$ ..................3

put the value of a in eq.1

$2(10-6b)+5b=13$

$20-12b+5b=13$

$7b=7$

$b=1$

now put the value of b in eq.3

$a=10-6=4$

So, option B is correct $(4,1)$