Question

Please help!!!!

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this.

6x - 2y = 2,
9x - 3y = 1

My answer:

Equation 1
X-intercept y=intercept
6x - 2y = 2 6x - 2y = 2

6x - 2(0) = 2 6(0) - 2y = 2

6x - 0 = 2 0 -2y = 2

6x = 2 -2y = 2
6x/6 =2/6 -2y/2 = 2/2
x= 0.75 y = -1

Equation 2

9x - 3y = 1 9x - 3y = 1

9x - 3(0) = 1 9(0) - 3y = 1

9x - 0 = 1 0 - 3y = 1

9x = 1 -3y = 1
9x/9 =1 -3y/3 = 1/3
x= 1/9 y = -1/3
x= 0.9 y= -0.25

Answer 1

It is not clear what you are doing. Rewrite the two equations as follows

18x - 6y = 6
18x - 6y = 2

The two equations are incompatible, and would graph as separate parallel lines.

There is no solution.

Answer 2

-2x+7y=0
can someone help me plz :))