Answer:
x = 2, y = 6
(2, 6)
Step-by-step explanation:
The system of equations is solved when we find the "x" and "y" pair that is true for both equations.
We can use elimination, which is when we eliminate one of the variables. This can be done when both equations have a variable that has the same number.
Make both equations have "12y". Multiply each term by the same number.
-7x + 4y =10 }x3 => -21x + 12y = 30
-5x + 3y = 8 }x4 => -20x + 12y = 32
Subtract the equations from each other to get rid of 12y.
. -20x + 12y = 32
<u>- -21x + 12y = 30</u>
. 1x + 0y = 2 0y is nothing and 1x is x.
. x = 2 We have solved for x.
Now solve for y.
Use one of the equations:
-5x + 3y = 8 Substitute x for 2
-5(2) + 3y = 8 Simplify
-10 + 3y = 8 Start isolating x. Add 10 to both sides
3y = 18 Divide both sides by 3
y = 6 Solved for y.
The system of equations intersect at (2, 6).
The coordinates of X are (5, 11).
Solution:
Given points of the line segment are P(2, 2) and T(7, 17)
Let X be the point that partitions the directed line segment PT in the ratio 3 : 2
Using section formula, we can find the coordinate of the point that partitions the line segment.
Section formula:
Here, 
and m = 3, n =2
Substitute these in the section formula,
X(x, y) = (5, 11)
The coordinates of X are (5, 11).
Answer:
what makes a graph linear:
• it's a straight line
• has a constant rate of change (slope)
• and of course it runs once through the y axis.
