For this case we have the following system of equations:

We solve by the substitution method:
We substitute the first equation in the second equation:

We apply distributive property considering that 

We subtract 69 from both sides of the equation:

We divide by 8 on both sides of the equation:

We look for the value of the variable y:

Thus, the solution of the system is 
Answer:

Answer:
x=(3,1/4)
Step-by-step explanation:
Be sure to use the formula...
- First, move all variables to one side (left) of the equation. You want one side to be equivalent to zero.
-Next, you need to find a, b, and c. This should be...
a=4
b=-13
c=3
- Knowing this, fill in these variable to go along with the formula. I cannot do this for you, as you should try it on your own. But, you should end up with the solution x= (3,1/4).
- Hope this helps! If you need a further explanation or help on any more problems please let me know, as I would be glad to help anytime.
Answer:

Step-by-step explanation:
Answer:
17rx2−23rx−71x+75
Step-by-step explanation:
(17x−23)(xr−4)−(3x+17)
=(17x−23)(xr−4)+−1(3x+17)
=(17x−23)(xr−4)+−1(3x)+(−1)(17)
=(17x−23)(xr−4)+−3x+−17
=(17x)(xr)+(17x)(−4)+(−23)(xr)+(−23)(−4)+−3x+−17
=17rx2+−68x+−23rx+92+−3x+−17
=17rx2+−68x+−23rx+92+−3x+−17
=(17rx2)+(−23rx)+(−68x+−3x)+(92+−17)
=17rx2+−23rx+−71x+75
Answer:
Step-by-step explanation:
Given is the absolute value function.
<u>Observations:</u>
- It has a slope of ±√3 and the y- intercept of 2.
- There is no horizontal shift, so the the y-axis is the line of symmetry.
- The y-axis is also an angle bisector of the two lines.
- The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.
We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).
Consider the triangle AYP₂.
We know AP₂ = 5.
<u>The angle YAP₂ is:</u>
<u>The distance AY is:</u>
- AY = AP₂ cos 30° = 5*√3/2
<u>The distance from the x-axis to the point Y is:</u>
- 5√3/2 + 2, added the y- intercept of the graphed lines
<u>The coordinates of the point Y:</u>