When you have a system of equations like this, the solution will be a coordinate, so it will have an x point and a y point. To find the solution's x coordinate you first want to add the equations together.
x + 3y = 5
x - 3y = -1
x + x = 2x
3y - 3y = 0
5 + (-1) = 5 - 1 = 4
So now we have 2x = 4
Just solve for x in this simple one-step equation by dividing each side by 2 to isolate the variable.
2x / 2 = 4 / 2
x = 2
The x coordinate of the solution is 2.
Now, to find the y coordinate we will substitute our x value (2) into either of the original equations.
I'll choose x + 3y = 5
We now know that x = 2, so replace x with 2.
x + 3y = 5
2 + 3y = 5
3y + 2 = 5
(subtract 2 from each side)
3y + 2 - 2 = 5 - 2
3y = 3
(divide each side by 3)
3y / 3 = 3 / 3
y = 1.
So, we've found that the x coordinate of our solution is 2, and the y coordinate is 1/
The solution is (2, 1)
Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best that I can.
Answer:
9
Step-by-step explanation:
She bet 9 each time, you can find this by doing 27 ÷ 3 :)
Answer: 15
Step-by-step explanation:
As defined in the lesson on Unit Rate and Proportionality, the unit rate is the rate of change in a relationship where the rate is per 1. The rate of change is the ratio between the x and y values in a table. Another term for the rate of change for proportional relationships is the constant of proportionality.
First of all you need to do it step by step.
how did you find 36.
6^5 = 7776 its like you multiply 6 by 6, 5 times it would give you that number
6^3 = 216 you multiply 6 by 6, 3 times it would give you that number.
and then you divided 7776 by 216 it should give you 36.
VOILA!!!!! I hope you understand that.
good luck!!!