How can I tell if a system of equations has one, no, or infinitely many solutions?

please give me brainlist

Step-by-step explanation:

When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions.

...

No solutions if K is same but C is different in both equation.

infinite solutions if K and C are equal for both equations.

and, one solution if K is different.

There are many ways to interpret if whether or not a system of equations has solutions or not. Here is one way that is most ideal for most, if not, all equations: using graphs.

4444444444444 i think

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116