Question

Use the substitution method to solve the linear system given. Express
the answer as an ordered pair of the form (x,y)
x + y = 5
2x + y = 6

Answer 1

rewrite the 1st equation

let y = 5 - x

and substitute in to the 2nd equation

2x + ( 5 -x) = 6

then

2x + 5 - x = 6

x + 5 = 6

subtract 5 from both sides

x = 1

substitute x = 1 into the 1st equation

1 + y = 5

then y = 4

so the ordered pair is (1, 4)