can you solve the system of equation by graphing x+y=8 x-y=6

Question

x=y=8 x-y=6

Answer 1

1) x + y = 8

2) x - y = 6

put both equations into slope-intercept form:

x + y = 8

y = -x + 8

slope = -1, y-intercept = (0, 8)

x - y = 6

y = x - 6

slope = 1, y-intercept = (0, -6)

As a check, I'll determine the point of intersection algebraically:

1) x + y = 8  or  y = 8 - x

2) x - y = 6

substitute eq(1) into eq(2):

x - (8 - x) = 6

2x - 8 = 6

2x = 14

x = 14/2 = 7

using eq(1):

y = 8 - 7 = 1

check using eq(2):

7 - 1 = 6

x = 7, y = 1

point of intersection = (7, 1)