Question

Verify the following system of equations has the given solution using each method: substitution,

combination/elimination, and graphing.
System:
2x+3y=6
x-6y=18
Solution: (6, -2)

Substitution:


Combination/elimination:


Graphing:

Answer 1

Explanation:

Substitution:

a) 2x+3y=6

b) x-6y=18

b) x = 6y + 18

a) 2(6y+18)+3y=6

12y+36+3y=6

15y = -36+6

y = -30/15

y = -2

combination/elimination

a) 2(2x+3y=6)

4x+6y=12

(4x+6y=12) + (x - 6y= 18)

4x +x = 12+18

5x = 30

x = 30/5

x = 6