Question

8x + 13y = 2
y = x- 2
Solve the system of equations

A) (4/3, -2/3)

B) (4/21, -38/21)

C) no solution

Answer 1

8x + 13y = 2 reaarrange y = x - 2 to read x - y =2 by legal algebra moves.
x - y =2 now note that
8x + 13y = x - y or again using algebra rules
7x + 14y = 0 divide thru by 7 getting
x + 2y = 0
x = -2y substitute for x in 2nd original equation getting
y = -2y - 2
3y = -2
y = -2/3
Now solve for x
-2/3 = x - 2
-2/3 = x -2
x = -2/3 + 2
x = 4/3

Answer 2

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