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elixir [45]
3 years ago
11

Solve the system by the elimination method? -5x-2y=2 6x-2y=24

Mathematics
2 answers:
Ivahew [28]3 years ago
4 0
X = 22
Make either x or y opposites and then solve.

Hope this helps.
Mnenie [13.5K]3 years ago
4 0
<span>-5x-2y=2
6x-2y=24

Notice that -2y appears in both equations.  Multiply the first equation by -1, obtaining 

5x + 2y = -2               and then adding the second equation to this result:
6x  -2t   = 24
-----------------
11x        = 22, so x = 2.  Now subst. 2 for x in either of the original equations to find the value of y.

6(2) - 2y = 2 becomes 2y = 12-2, or 2y = 10, or y = 5.

Solution is (2,5).  You MUST check this, however.</span>
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Sam is delivering two refrigerators that each weigh 105 kilograms there is an elevator with a weight limit of 1,00 pounds
rosijanka [135]

Question:

Sam is delivering two refrigerators that each weigh 105 kilograms. There is an

elevator with a weight limit of 1,000 pounds. Can he take both refrigerators on the

elevator in one trip? (1 kilogram 2.2 pounds)

Answer: yes he can

Step-by-step explanation:

Yes he can.

He can if the total weight of the 2 refrigerator didn't exceed the weight limit of the elevator.

Therefore:

Since 1 refrigerator weigh 105kg

2 refrigerator = 2 x 105kg = 210kg

The weight limit of the elevator 1000pounds convert to kg.

Since

2.2 pounds = 1kg

1000 pounds = 1000/2.2 kg

=454.55kg

Weight limit of the elevator = 454.55kg.

Since Weight of the 2 refrigerator is less than

weight limit of the elevator, he can take both refrigerators on the elevator in one trip

5 0
3 years ago
5x=4y make x the subject
oee [108]

Answer:

x = \frac{4y}{5}

Step-by-step explanation:

5x = 4y\\\rule{150}{0.5}\\\frac{5x=4y}{5}\\\\\boxed{x = \frac{4y}{5}}

Hope this helps.

4 0
3 years ago
URGENT PLEASE HELP ME
krek1111 [17]

a) & b) is yes, c) is no. hope you have a good day

5 0
3 years ago
Read 2 more answers
Choose the correct conic section to fit the equation.
yanalaym [24]

Answer:

Option A) Circle.

Step-by-step explanation:

We are given the equation:

(x - 3)^2 + (y - 12)^2 = 25

A general equation of the circle is of the form:

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center of the circle and r is the radius of circle.

Comparing the two equations, we get,

(h,k) = (3,12)\\r = \sqrt{25} = 5

Thus, the given equation is equation of a circle centered at (3,12) and of radius 5 units.

5 0
3 years ago
BD is the angle bisector of
AlexFokin [52]

Note: Let us consider, we need to find the m\angle ABC and m\angle DBC.

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The m\angle ABC and m\angle DBC.

Solution:

BD is the angle bisector of ABC. So,

m\angle ABD=m\angle DBC

3x=x+20

3x-x=20

2x=20

Divide both sides by 2.

x=\dfrac{20}{2}

x=10

Now,

m\angle DBC=(x+20)^\circ

m\angle DBC=(10+20)^\circ

m\angle DBC=30^\circ

And,

m\angle ABC=(3x)^\circ+(x+20)^\circ

m\angle ABC=(4x+20)^\circ

m\angle ABC=(4(10)+20)^\circ

m\angle ABC=(40+20)^\circ

m\angle ABC=60^\circ

Therefore, m\angle DBC=30^\circ,m\angle ABD=30^\circ and m\angle ABC=60^\circ.

8 0
2 years ago
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