What is the solution of the system? use substitution. y = 6x + 2 3y - 18x = 12 a. one solution b. two solution c. no solution or d. infinietly many

Substituting y=6x+2 into equation 3y - 18x =12 looks like:

3(6x + 2) - 18x = 12
18x + 6 - 18x = 12  distributive property left side
6 = 12  simplifying the left side

We now see a contradiction:   6 does not equal 12  What this tells us is that there is no solutions to this equation.  So choice 'C' ...

I believe there is no solution cause i tried to do the math and the answers didnt match eachother like how 3y-18x=12 is y=6x+4 not y=6x+2

Where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis. to write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. this is the value of m in the equation.

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