Question

what is an approximate solution of the system of equations? y=-0.5x+4 y=1+2x1.25,3.42.25,3.43.4,2.253.4,1.25

Answer 1

Combining the two equations gives us

$-0.5x+4=2x+1$

We add 0.5x to both sides and get

$4=2.5x+1$

and subtracting 1 from both sides gives

$2.5x=3$

And finally, dividing both sides by 2.5 gives

$x=1.2$

Putting this value of x into y = 2x + 1 gives

$y=2(1.2)+1$$y=3.4$

Hence our solution is

$\textcolor{#FF7968}{(1.2,3.4)}$