Answer:
C. 3x+6y=9 and-2x-4y=4
Step-by-step explanation:
Given
Steps:
The attachment completes the question
(a): -2x+4y=4 and -3x+6y=6
Multiply by 2: [tex]-2x+4y=4 ===> -4x + 8y = 4[/tex]
Multiply by 3: [tex]-3x+6y=6 ===> -6x + 12y = 12[/tex]
Add together
[tex]-4x - 6x + 8y + 12y = 4 + 12[/tex]
[tex]-10x + 20y = 16[/tex]
B. 3x+y=12 and -3x+6y=6
Multiply by 2: [tex]3x+y=12 ===> 6x + 2y = 24[/tex]
Multiply by 3: [tex]-3x+6y=6 ==> -9x + 18y = 18[/tex]
Add together:
[tex]6x - 9x + 2y + 18y = 24 + 18[/tex]
[tex]-3y + 10y = 42[/tex]
C. 3x+6y=9 and-2x-4y=4
Multiply by 2: [tex]3x+6y=9 ===>6x + 12y = 18[/tex]
Multiply by 3: [tex]-2x-4y=4 ===> -6x - 12y = 12[/tex]
Add together:
[tex]6x - 6x + 12y - 12y = 18 + 12[/tex]
[tex]0 = 30[/tex]
This is the equation the student could have used because 0 = 30 means the equation has no solution.
