Question

Solve the system of equations by elimination
-3x+12y=18
-6x+24y=36​

Answer 1

infinite number of solutions

Explanation:

- 3x + 12y = 18 → (1)

- 6x + 24y = 36 → (2)

multiply (1) by - 2 and add to (2)

6x - 24y = - 36 → (3)

add (2) and (3) term by term on both sides

0 + 0 = 0

0 = 0 ← true statement

this true statement indicates the system has an infinite number of solutions

Answer 2

1) -3x+12y=18

= -3x=18-12y

= -3x=6y

= x=

`\binom{6y}{ - 3}`

=

`\binom{2y}{ - 1}`

=2y