Question

medal and fan,

can someone check my work?

solve by graphing, tell whether the system has one solution, infinitely many solutions, or no solution, x-2y=3, and y=-2x+6
i got (3,0), one solution

Answer 1

Here I can solve your system by substitution. Namely I solve the first equation for x, and I get:
x=3+2y.
Next I substitute that value of x, into the second equation, so I can write:
y=-2(3+2y)+6
I solve that second equation for y, and I get y=2. Substituting y=0, into the first equation, I get x=3. So the solution is:
x=3, y=0
Then I confirm that, your answer is right!

Answer 2

oops..I solve that second equation for y, and I get y=0...

Answer 3

thanks

Answer 4

thanks! :)