Question

The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is

Answer 1

See below

$\\ \sf\Rrightarrow y=-x+2$--(1)

$\\ \sf\Rrightarrow y=x+1$--(2)

Now

$\\ \sf\Rrightarrow -x+2=x+1$

$\\ \sf\Rrightarrow -2x=-1$

$\\ \sf\Rrightarrow x=0.5$

Put in eq(2)

$\\ \sf\Rrightarrow y=0.5+1$

$\\ \sf\Rrightarrow y=1.5$

• (x,y)=(0.5,1.5)