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Orlov [11]
4 years ago
10

2x - 7y = 2 and 3x + y = -20 addition/elimination

Mathematics
1 answer:
Mkey [24]4 years ago
6 0

Answer:

x = -6, y = -2

Step-by-step explanation:

2x-7y = 2

3x + y = -20

We need to cancel out either x or y to solve the equation. I'll cancel out x first

3(2x-7y = 2)

-2(3x+y=-20)

___________

6x-21y = 6

-6x -2y = 40

____________

-23y = 46

y = -2

Plug the value for y in one of the 2 equations to solve for x

2x -7(-2) = 2

2x+14=2

2x = -12

x=-6

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Last season two running backs on the Steelers football team rushed or a combined total of
belka [17]

Answer:

310 yards and 1,240 yards

Step-by-step explanation:

Let first football player rushed x yards.

One football player rushed 4 times as many yards as the other, then the second player rushed 4x yars.

In total, they rushed

x+4x=5x yards.

Last season two running backs on the Steelers football team rushed or a combined total of 1,550 yards.

Hence,

5x=1,550\\ \\x=\dfrac{1,550}{5}=310\ yards\\ \\4x=310\cdot 4=1,240\ yards

8 0
4 years ago
Find the equation for the set of points whose distance from the y-axis equals the distance from the xz-plane.
julia-pushkina [17]

Answer:

$ x_1^2 + z_1^2  = y_1^2$

Step-by-step explanation:

Let   $ p(x_1, y_1, z_1)$  be the point.

Any point on y-axis is (0, y, 0)

So, distance is

= $ \sqrt{x_1^2+0 + z_1^2} $

= $ \sqrt{x_1^2 + z_1^2} $   ......(1)

Now any point on x-z plane is $ ( x_1, 0, z_1 ) $

Distance from p to this point is

= $ \sqrt{0+y_1^2 + 0} $

= $\sqrt{y_1^2}$    .........(2)

Equating (1) and (2), we get

$ \sqrt{x_1^2 + z_1^2}  = \sqrt{y_1^2}$

$ x_1^2 + z_1^2  = y_1^2$

This is the required equation.

8 0
3 years ago
Answer ASAP please and thank you. Please give me the correct answer!! This is very important. I saw this question twice for brai
Papessa [141]

Answer:

B

Step-by-step explanation:

18+12=30

30X4=120

120/2=60

You need to add the bottom and the top of the trapezoid, times the height, and divided them by two.

7 0
3 years ago
Read 2 more answers
The four pair of shoes that Mr.King ordered cost $98.00 each. The shipping charge was 3% of the cost of the merchandise. What wa
nika2105 [10]
The answer is 2.94$               
4 0
3 years ago
What is 8% of 10.81?
valentina_108 [34]

Answer:

0.8648 Hope this helped!

5 0
3 years ago
Read 2 more answers
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