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kirill [66]
2 years ago
7

Write an equivalent system of equations to the following of equations: 2x+2y=-6 and x-4y=2​

Mathematics
1 answer:
dlinn [17]2 years ago
5 0

Answer:

A system of equivalent equations is:

x + y = -3

2x - 8y = 2

Step-by-step explanation:

Given

2x + 2y = -6

x - 4y = 2

Required

Write a system of equivalent equations

A system of equivalent equations implies that:

When the new set of equation is solved, the solution is equivalent to the original equation.

To do this, we have to carry out the same operation on both sides of the given equation.

Take for instance

2x + 2y = -6

Multiply both sides by ½

½(2x + 2y) = -6 * ½

x + y = -3

x + y = -3 is equivalent to 2x + 2y = -6

Multiply both sides of x - 4y = 2 by 2

2(x - 4y) = 2 * 2

2x - 8y = 4

2x - 8y = 4 is equivalent to x - 4y = 2

Hence, a system of equivalent equations is:

x + y = -3

2x - 8y = 2

Note that there are more equivalent equations.

The results you get depend on the operation performed on the given equation.

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3 years ago
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Bingel [31]

Answer:

Knowing that 3²+4²=5, draw the 3cm side and 4cm side with right angle between them. The 5cm side will fit to form a right triangle.

Option D is correct option.

Step-by-step explanation:

We are given sides: 2cm, 3cm, 4cm and 5cm. We need to choose the correct option according to converse of the Pythagorean Theorem

The converse of the Pythagorean Theorem is:

<em>If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.</em>

Now, if we sum the square of 2 smaller sides, it should be equal to square of longest side.

So, if add:

(3)^2+(4)^2=(5)^2

We get: 9+16=25

25=25

So, the sides of triangle are 3cm, 4cm and 5 cm.

Now, the longest side will be hypotenuse so, 5cm is hypotenuse, 3 cm and 4cm can be base and perpendicular.

And the angle will of 90 degrees will be between base and perpendicular.

So, the correct option is:

Knowing that 3²+4²=5, draw the 3cm side and 4cm side with right angle between them. The 5cm side will fit to form a right triangle.

Option D is correct option.

7 0
2 years ago
How to write 1.075 in words
Fofino [41]
One thousand seventy-five 
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3 years ago
The surface area of a cube is 6 square centimeters. What is its volume, in cubic<br> centimeters?
Elenna [48]

Answer:

1 cubic centimeter is the volume

Step-by-step explanation:

the surface area is 6

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1 = a

L  * W * H = ?

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1 is the volume

have a good day!

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3 years ago
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Alecsey [184]

Answer:

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Step-by-step explanation:

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2 years ago
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