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GaryK [48]
3 years ago
13

Solve the system by substitution. *

Mathematics
1 answer:
baherus [9]3 years ago
6 0

Answer:

(-3,-1)

Step-by-step explanation:

Given equations are :

3x - 2y=-7\ ....(1)\\\\y=-7x - 22...(2)

Put the value of y from equation (2) to equation (1), so,

3x - 2(-7x - 22)=-7\\\\3x+14x+44=-7        

Taking variables on one side and constant on another side.    

17x=-7-44\\\\17x=-51\\\\x=-3

Put x = -3 in equation (2) i.e.

y=-7(-3) - 22\\\\y=-1

So, the value of x and y are (-3) and (-1) respectively.

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Which of the following is equivalent to the expression below? 7-20 O A. -5lſ O B. 2125 O c. 5iſ OD. -215​
soldier1979 [14.2K]

Answer:

it is B

Step-by-step explanation:

i just did it

5 0
2 years ago
5. Find the point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides
ASHA 777 [7]
Consider point P(x,y) such that P, X and Y are collinear,

As vectors

XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)

Similarly,

PY = (6-x, -3-y)

But XP= 2^PY

[x+3, y-3] = [2(6-x), 2(-3-y)]

Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:

x+3 = 12 - 2x

x = 3

y-3 = -6-2y

y = -1

Therefore, P(3,-1)

6 0
3 years ago
Please answer in square units and no fake answers
Lubov Fominskaja [6]

Answer:

x=4 I dont know if you are trying to find the value is x

Step-by-step explanation:

5 0
2 years ago
A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row. How many seats are
Anna35 [415]

Answer:

8428

Step-by-step explanation:

According to the Question,

  • Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.

We have a number sequence  13, 18, 23, ...

  • We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.
  • The formula for the sum of an arithmetic sequence with n terms is given is S_n= \frac{n}{2} [2a_1+(n-1)d]S .

Substitute the given values into the equation to solve for the sum of the 56 rows of seats.

S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428

Therefore, there are 8428 seats in all.

4 0
3 years ago
Find the area of a regular hexagon with the given measurement. 48-inch perimeter A = sq. in. the answer is a square root
svp [43]

The area of a regular hexagon is

... A = (3√3)/2×s² . . . . . where s is the side length

Of course, the 6-sided figure will have a side length that is 1/6 of the perimeter.

... s = (48 in)/6 = 8 in

... A = (3√3)/2×(8 in)² = 96√3 in² . . . area of your regular hexagon

5 0
3 years ago
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