Question

Write five different linear equations in two variable and find three solutions for each of them?

Answer 1

(i) $x+y=10$

(a) for $x=1$

$1+y=10$

$y=9$

(b) for $x=2$

$2+y=10$

$y=8$

(c) for $x=3$

$3+y=10$

$y=7$

(ii) $2x+y=15$

(a) for $x=1$

$2\times 1+y=15$

$y=15-2=13$

(b) for $x=2$

$2\times 2+y=15$

$y=15-4=11$

(c) for $x=3$

$2\times 3+y=15$

(iii) $2x-y=0$

(a) for $x=1$

$2\times 1-y=0$

$y=2$

(b) for $x=2$

$2\times 2-y=0$

$y=4$

(c) for $x=3$

$2\times 3-y=0$

$y=6$

(iv) $2x-y=1$

(a) for $x=1$

$2\times 1-y=1$

$y=2-1=1$

(b) for $x=2$

$2\times 2-y=1$

$y=4-1=3$

(c) for $x=3$

$2\times 3-y=1$

$y=6-1=5$

(v) $2x+3y=0$

(a) for $x=1$

$2\times 1+3y=0$

$y=-2/3$

(b) for $x=2$

$2\times 2+3y=0$

$y=-4/3$

(c) for $x=3$

$2\times 3+3y=0$

$y=-6/3=-2$