To do this we need to rewrite the equation in terms of y
4y=12-3x
y=3-3x/4
Therefore the gradient is -3/4
we can take a peek at two of those lines hmmm say y = 5x + 3 and y = 5x + 7.
let's notice, those two equations for those lines are in slope-intercept form, so let's solve the system.
since y = y then
5x + 3 = 5x + 7
3 = 7 what the?
well, notice, both lines have the same slope of 5, but different y-intercept, one has it at y = 3 and the other at y = 7, what does that mean?
it means that both lines are parallel to each other, one may well be above the other, but both are parallel, and since a solution to the system is where their graphs intersect, well, parallel lines never touch, so a system with two parallel lines has no solutions.
Victoria is 9. Her neighbor is 5.
The total amount of money is 75 dollars
There are 5 fifteens in 75
There are 6 dollars saved everytime he makes 15 dollars
6 x 5 = 30
He saved 30 dollars
