Substituting (x, y) with (a, a), since we have:
3a=2a-4, which means that 3a-2a=-4, that is a=-4.
So, the point is (-4, -4).
Remark: a point which lies in the graph of an equation is a solution of that equation. So x=a, y=a satisfies the equation <span> 3y = 2x -4, which makes our substitution legitimate.
Answer: </span>(-4, -4).
Answer: when the equations are equal, that is when x = 1 or x = 2
Step-by-step explanation:
The dog will receive the ball , when both equations intercept , that is , when both equations are equal. This implies :
- x + 2 = 2x
- x - 2x + 2 = 0
x(x-1) - 2 (x - 1 ) = 0
(x - 1 ) ( x - 2 ) =0
Therefore , x = 1 or x = 2
So, there will be 40 green cars. if we want the ratio to be 1:3, we will need there to b three times as many silver cars as green cars: 40*3=120.
we already have 20 silver, so we need to add 120-20, that is 100 silver cars!
B) because if you round your numbers, -18 1/4 is -18 and 2 2/3 rounds up to positive 3
The ratio 9/15 and 6/15 form a proportion