5x + 2y = 6
3x + y = 4....multiply by -2
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5x + 2y = 6
-6x - 2y = -8 (result of multiplying by -2)
-------------add
-x = -2
x = 2
5x + 2y = 6
5(2) + 2y = 6
10 + 2y = 6
2y = 6 - 10
2y = -4
y = -4/2
y = -2 <=== here it is
Answer:
Your teacher is right, there is not enough info
Step-by-step explanation:
<h3>Question 1</h3>
We can see that RS is divided by half
The PQ is not indicated as perpendicular to RS or RQ is not indicates same as QS
So P is not on the perpendicular bisector of RS
<h3>Question 2</h3>
We can see that PD⊥DE and PF⊥FE
There is no indication that PD = PF or ∠DEP ≅ FEP
So PE is not the angle bisector of ∠DEF
Answer:
y = 2/3x - 5 or in standard form 3y = 2x - 5
Step-by-step explanation:
Remember this fact: Parallel lines have the same slope
Step 1 Solve for y so that the equation is in the slope- intersect form
2x - 3y = 6
-3y = -2x + 6
-3y/-3 = -2x/-3 + 6/-3
y = 2/3 x -2
now we know the slope is 2/3 or
when the equation is in Standard form Ax + By = C you can use this fact: slope = - A/B so the slope = -2/-3 = 2/3
Remember the Parallel lines have the same slope
Find the y-intersect "b" use the slope = 2/3 and point (6, -1)
y = mx + b
-1 = 2/3(6) + b
-1 = 4 + b
-5 = b
Now write the equation of line that is parallel to the given line and passes through point (6, -1)
y = 2/3x - 5 or in standard form 3y = 2x - 5
17 is a prime number so the simplest form is 17/100
Answer:
Step-by-step explanation:
Part A:
We have two equations in the given question:
y=8x and y=2x+2
Then these two equations will intersect at a point where y is same fro both the equations:
In equation y=8x we will exchange y with the other equation which is y=2x+2 then we would have 8x=2x+2..
Part B:
8x = 2x + 2. Take the integer values of x between −3 and 3
x= -3
8(-3)=2(-3)+2
-24=-6+2
-24= -4
It is false
Now plug x= -2
8(-2)=2(-2)+2
-16 = -4+2
-16 = -2
This is false
Now plug x= -1
8(-1)=2(-1)+2
-8 = -2+2
-8=0
It is false
Now plug x= 0
8(0)=2(0)+2
0=0+2
0=2
It is false
Now plug x= 1
8(1)=2(1)+2
8=2+2
8=4
False
Now plug x= 2
8(2)=2(2)+2
16=4+2
16=6
False
Now plug x=3
8(3)=2(3)+2
24=6+2
24=8
It is false
It means there is no solution to 8x=2x+2 for the integers values of x between −3 and 3
Part C:
Plot the two given functions on a coordinate plane and identifying the point of intersection(values of the variables which satisfy both equations at a particular point) of the two graphs.
The graph is attached. The point of intersection at x =0.333 and value of y = 2.667....
