2x − y = 10
one thirdx + 2
negative one thirdx + 6
−x + 2
negative one thirdx + 2
Question 2. What is the value of y in the solution to the following system of equations?
5x − 3y = −3
2x − 6y = −6
−1
0
1
2
Question 3. Solve 7x − 2y = −3
14x + y = 14
(4, five sevenths)
(4, seven fifths)
(five sevenths, 4)
(seven fifths, 4)
Question 4. Solve x + 3y = 9
3x − 3y = −13
(−1, ten thirds)
(1, negative ten thirds)
(−1, 3 over 10)
(1, negative 3 over 10)
Question 5. Use the substitution method to solve the following system of equations:
4x − y = 3
7x − 9y = −2
(1, 1)
(6, −3)
(6, 1)
(1, −3)
Question 6. Solve 5x − 6y = −38
3x + 4y = 0
(4, 3)
(−4, 3)
(4, −3)
(−4, −3)
Question 7. Solve 2x + 5y = −13
3x − 4y = −8
(4, 1)
(−4, 1)
(4, −1)
(−4, −1)
Answer for Question (1):
The system of equations: x+3y=6
2x-y=10
Solve the first equation x+3y=6 for y:
Subtracting x on both sides,
x+3y-x=6-x
3y=6-x
Now dividing 3 on both sides, we get
y=2-x/3 = negative one third x + 2
Thus y= negative one third of x +2
Answer for question (2):
The system of equation :
5x-3y=-3 --> (1)
2x-6y=-6 -->(2)
Multiply equation (1) by 2, we get 10x-6y=6.
Subtracting (1) by (2), we get 8x=0 implies x=0.
Plug in x=0 in equation (1), 0-3y=-3
Dividing -3 on both sides,
y=-3/-3=1
So the solution of y is 1.
Answer for Question (3):
System of equation:
7x-2y=-3 (1)
14x+y=14 (2)
Multiply (2) by 2,
28x+2y=28 (3)
Adding (1) and (3), we get 35x=25
Now dividing 35 on both sides, x=25/35=5/7.
Plug in x=5/7 in equation (1), we get 5-2y=-3
-2y=-3-5
-2y=-8
Dividing -2 on both sides,
y=4
Thus the solution of this system of equation as (5/7,4).
Answer for question (4):
x + 3y = 9 ---> (1)
3x − 3y = −13 ---> (2)
Adding equation (1) and (2), we get
4x=-4
Dividing 4 on both sides,
x=-1
Plug in x=-1 in equation (1), we get
-1+3y=9
Adding 1 on both sides,
3y=9+1=10
Now dividing 3 on both sides,
y=10/3.
so the solution is (-1,10/3).
Answer for question (5):
System of equation is 4x − y = 3 (1)
7x − 9y = −2 (2)
consider the first equation 4x-y=3
Adding y on both sides, 4x=3+y
subtracting 3 on both sides, we get y=4x-3
Substitute y=4x-3 in equation (2),
7x-9(4x-3)=-2
7x-36x+27=-2
Combine the like terms,
-29x+27=2
Adding 27 on both sides,
-29x=-29
dividing -29 on both sides,
x=1
Plug in x=1 in y=4x-3,
y=4(1)-3=1
Then the solution is (1,1).
Answer:
What is the solution to the system of equations?
6 x + 2 y = 6. 7 x + 3 y = 5.
(Negative 3, 2)
(Negative 1, 6)
(2, Negative 3)
(6, Negative 1)
Step-by-step explanation:
What is the solution to the system of equations?
6 x + 2 y = 6. 7 x + 3 y = 5.
(Negative 3, 2)
(Negative 1, 6)
(2, Negative 3)
(6, Negative 1)
b. 24
c. 120
d. 360
e. 720
Answer:
D = 360
Step-by-step explanation:
Number of monsters that arrive at the theater = 6
Total number of arrangement for the 6 mobsters = 6!
= 6*5*4*3*2*1
= 720
The chance that Frankie will be behind Joey is half while the chance that Joey will be behind Frankie is half.
Since Frankie wants to stand behind joey in the line though not necessarily behind him, the arrangement can be done in 6!/2 ways
= (6!) 1/2
= 720/2
= 360 ways
Answer:
The answer is 150
Step-by-step explanation:
There is no image! Next time, use an image attached to your question. You can take a screenshot, or a picture of your screen with another device.
Mac was somewhat correct in utilizing a protractor to duplicate angle TAR. However, in geometric construction, angles are usually duplicated using a compass and straight edge.
In terms of duplicating angle TAR to create angle MAC, Mac was somewhat correct in his use of a protractor to measure and recreate the angle. However, the exact correctness of his construction could be contingent upon additional elements. In simple terms, yes, you can duplicate an angle by using a protractor. You would simply need to measure the degree of the original angle and then replicate this on a separate point using the same degree measurement. Nonetheless, in proper geometric construction, an angle is duplicated using a compass and a straight edge rather than a protractor.
For instance, if Angle TAR measures 30 degrees, Mac will set his protractor at an intersect point M to measure and create angle MAC, that also measures 30 degrees. It's essential to note that while the measure of the angles are identical, the lengths of the sides of the angles will not necessarily be identical unless defined to be so.
Yet, using a protractor is not necessarily the exact method of angle duplication as described in classic geometric construction. There, one uses a compass and straightedge to duplicate an angle. This process generally involves drawing an initial line, creating an arc crossing the angle's sides with a compass, and then duplicating this arc on the other line to assure both angles are comparable.
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