To find the point of intersection, we want to set the two equations equal to each other to find where they meet. The problem is, we have two variables, which means we can't just set them equal to each other as is. We need to manipulate the equations so that we can remove one of the variables at a time to solve for the other one.
First, let's move y to one side so we can solve for x.
2x-3y=9
2x-9=3y
y=(2x-9)/3
5x+4y=11
4y=11-5x
y=(11-5x)/4
Now that they both equal the same thing (y), we can set them equal to each other and solve for x. This will give us the x value for the point of intersection of the lines.
(11-5x)/4=(2x-9)/3
3(11-5x)=4(2x-9)
33-15x=8x-36
33+36=8x+15x
69=23x
x=69/23
x=3
Now, we can do the opposite, and solve for x to find the y coordinate.
2x-3y=9
2x=3y+9
x=(3y+9)/2
5x+4y=11
5x=11-4y
x=(11-4y)/5
(3y+9)/2=(11-4y)/5
5(3y+9)=2(11-4y)
15y+45=22-8y
15y+8y=22-45
23y= -23
y= -1
The coordinates for the point of intersection of the two lines is (3, -1).
30, 6
150, 30
180 ................
Answer:
1.25
Step-by-step explanation:
First we should fill in what we know. They mentioned that the y would be the numerator (# on the top) and the x would be the denominator (# in the bottom).
<---- This will be your proportion
Now we will cross multiply and make a equation. So we will do 3 * 10 which equals 30 and then 24 * y which is 24y. So now our equation will look like this.
Then when you solve the equation you'll get 1.25
Answer:aadadadStep-by-step explanation:Numbers please?
Answer:
90°
Step-by-step explanation:
2x = 60° and x = 30 the sum of interior angles in a triangle is = 180°
60° + 30° + y = 180°
y = 90°
