Question

x + y = 6
2x - y = 3
The system of equations?

a. has no solution
b. has one solution
c. is coincident

Answer 1

a quick check if the two equations are the same line (coincident),

if one is a multiple of the other, they are the same lines..

Answer 2

look, what do you multiply x by to get the 2x in the second.... 2

is y in the second also 2 times the first...here it is not

Answer 3

so not c

Answer 4

no solutions mean they are parallel, same slopes, if you want to put them both in y=mx+ b and see if they have same m

Answer 5

Solve for x and y
Add both equations:
A) x + y = 6
B) 2x - y = 3

3x =9
Therefore x =3
Substitute x=3 into
A) x + y = 6
to get the y value

Answer 6

\[x+y=6\\2x-y=3\\ ratios\ of\ their\ coefficients\ are\ \not\ equal\\i.e.\ \frac{ 1 }{ 2 }\neq \frac{ 1 }{ -1 }\\so\ system\ has\ unique\ solution\\ clearly\ \it\ has\ one\ solution\ (option,b)\]

Answer 7

please replace 'are equal' by 'are not equal'