Question

Draw the graph of equation x-y =1and 2x+y=8.Find the area sounded by this two line and then y axis

Answer 1

x-y=1

x=1+y

x 1 2 3

y 0 1 2

y=0;x=1

y=1;x=1+1

=2

y=2;x=3

2x+y=8

x=8-y/2

x 4 3 2

y 0 2 4

y=0;x=4

y=2;x=3

y=4;x=2

area of triangle=1/2×b×h

=1/2×4×3

=6