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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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8x+3y=4 <br> -7x+5y=-34 <br><br> Elimination using multiplication
irga5000 [103]

Answer:

x= 2    and y = -4

Step-by-step explanation:

8x + 3y = 4 ---------------------------------(1)

-7x + 5y = -34 -----------------------------(2)

Multiply through equation (1) by 5 and multiply through equation(2) by 3

40x + 15y = 20 ----------------------------(3)

-21x + 15y =-102----------------------------(4)

Subtract equation (4) from equation (3)

61x = 122

Divide both-side of the equation by 61

61x/61 = 122/61

(At the left-hand side of the equation 61 will cancel-out 61 leaving us with just x, while at the left-hand side of the equation 122 will be divided by 61)

x = 122/61

x=2

Substitute x= 2 into equation (1)

8x + 3y = 4

8(2) + 3y = 4

16 + 3y = 4

Subtract 16 from both-side of the equation

16-16 + 3y = 4-16

3y = -12

Divide both-side of the equation by 3

3y/3 = -12/3

y = -4

x= 2    and y = -4

4 0
3 years ago
Read 2 more answers
Show the following numbers on number line 3/2, 5/2, -3/2
pav-90 [236]

When you create the number line, put 0 in the middle. Basically you put all the numbers you got from least to greatest on the number.

Since -3/2 is less than 0, it will go to the left of 0.

Since 3/2 and 5/2 are greater than 0, it will go to the right of 0.

Remember to use sub points of 1.

Best of Luck!

3 0
2 years ago
Can someone please help me on this one? I will give BRAINLIEST to whoever has the correct answer.
Reptile [31]
I think the first one is 4x=3

6 0
3 years ago
A cylindrical container of height 28 cm and diameter 18 cm is filled with water. The water is then poured into another container
SVETLANKA909090 [29]

Step-by-step explanation:

then poured into another container with a rectangular base of length 27 cm and width 11 cm. Calculate the depth (height) of the water in the rectangular container

6 0
3 years ago
PLEASE HELP ME QUICK!!!20 POINTS!!!!!!!!
Blizzard [7]

the volume scales by (1/10)^3. so it would be 48.875*10^-3.

5 0
3 years ago
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