Question

The line y=1/2x+5 is graphed below. If the system comprised of this line and the line y = 8-x were solved,which of the following would be the y-coordinate of the solution?(1) y=1(3) y = 6(2) y = 5(4) y = 4

Answer 1

For this case we have the following equation given:

y= 1/2 x +5

And we have the other line y= 8-x

Then we can do the following:

1/2x + 5 = 8-x

1/2 x+ x = 8-5

3/2 x = 3

x= 2

Then the solution for y would be:

y= 1/2* 2+ 5= 1+ 5= 6

Then the answer is:

(3) y= 6