Answer:
(6, 0)
Step-by-step explanation:
There are a few different methods to solve system of equations. For this problem, you can use substitution by solving one of the equations for a variable and then substituting this expression into the other equation to solve for the remaining variable:
x - y = 6, add 'y' to both sides to solve for 'x': x - y + y = 6 + y or x = 6 + y
Using the expression '6 + y' for the value of 'x' in the second equation:
2x + 3y = 12 or 2(6+y) + 3y = 12 or 12 + 2y + 3y = 12 or 12 + 5y = 12
Subtract 12 from both sides: 12 + 5y - 12 = 12 - 12 or 5y = 0 so y = 0
Now that you know the value of 'y', you can solve for 'x':
x = 6 + 0 or x = 6
Put the values of 'x' and 'y' into an ordered pair: (6,0).
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The answer is 46
Since A is the midpoint of PA and TA you set both equations to equal each other to find x .
5/3x-2=4x-37
x=15
Then plug in 15 for x
4(15)-37=23
Since PT in both segment added together
23+23 =46
So kind man so kinda dude
X^2+3x=24, halve the linear coefficient, square it, and add it to both sides
In this case (3/2)^2=2.25
x^2+3x+2.25=26.25 now the left side is a perfect square...
(x+1.5)^2=26.25 take the square root of both sides
x+1.5=±√26.25 subtract 1.5 from both sides
x=-1.5±√26.25
x=-1.5-√26.25 and -1.5+√26.25
x≈ -6.62 and 3.62