how many solutions does each system have? :
x – 2y = 6
3x – 6y = 18
A. one
B. two
C. infinite
D. none
y – 5x = –6
3y – 15x = –1
A. one
B. two
C. infinite
D. none
x – 2y = 6
3x – 6y = 18
A. one
B. two
C. infinite
D. none
y – 5x = –6
3y – 15x = –1
A. one
B. two
C. infinite
D. none
-
if x - 2y = 6, x = 6 + 2y
so implies, 3(6+2y) - 6y = 18
18 = 18, no solutions as the simultaneous equations don't allow for x and y to be given values. 0 solutions.
2nd part. Rearrange for y = 5x - 6, 3(5x-6) - 15x = -6. -6=-6
Again no solutions.
so implies, 3(6+2y) - 6y = 18
18 = 18, no solutions as the simultaneous equations don't allow for x and y to be given values. 0 solutions.
2nd part. Rearrange for y = 5x - 6, 3(5x-6) - 15x = -6. -6=-6
Again no solutions.