Question

Which equation shows the substitution method being used to solve the system of linear equations?

x + y = 6
x = y + 5

Answer 1

i will give a medal to anyone who helps

Answer 2

The substitution method is just like it sounds...you sub in something for something else. In the equation x = y + 5, we know what x equals. So we sub in y + 5 for x in the other equation.
x + y = 6 -- sub in y + 5 for x
(y + 5) + y = 6 -- now combine like terms
2y + 5 = 6 -- subtract 5 from both sides
2y = 6 - 5
2y = 1 -- divide both sides by 2
y = 1/2
Now we can sub 1/2 in for y in either equation to find x
x + y = 6
x + 1/2 = 6
x = 6 - 1/2
x = 12/2 - 1/2
x = 11/2
now we can check our answers
x = y + 5
11/2 = 1/2 + 5
11/2 = 1/2 + 10/2
11/2 = 11/2 (correct)

There you go...x = 11/2 and y = 1/2
any questions ?

Answer 3

x + y = y + 5
(y + 5) + y = 6
x + (y + 5) = 6
x = (x – 6) + 5

Answer 4

those are the choices