## anonymous one year ago x + y = 6 2x - y = 3 The system of equations? a. has no solution b. has one solution c. is coincident

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1. DanJS

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..

2. DanJS

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

3. DanJS

so not c

4. DanJS

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

5. wolf1728

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

6. anonymous

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

7. anonymous

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