Respuesta :
Answer:
the problem has an infinite number of solutions
Explanation:
3x - 12y = 6
x - 4y = 2
make the coefficient of x same by multiplying the entire following by 3
⇒ ( x - 4y = 2 ) * 3
⇒ 3x - 12y = 6 __ equation 2
3x - 12y = 6 __ equation 1
solving using elimination method:
3x - 12y = 6
3x - 12y = 6
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0
3x-12y=6
- x-4y=3--(1)
- x-4y=2--(2)
Lets convert to slope intercept form
- 4y=x-3
- 4y=x-2
Slopes are equal so lines are parallel
Hence no solutions