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nignag [31]
3 years ago
5

Help. Does anyone know the answer. Pls help!

Mathematics
2 answers:
sdas [7]3 years ago
6 0

Answer:

Step-by-step explanation:

the first and last choices look good  

Jobisdone [24]3 years ago
6 0
The first one ^^^^^^^^^
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Choose the equivalent system of linear equations that will produce the same solution as the one given below. (1 point) 4x − 2y =
goldenfox [79]

Answer:

<h3>Option d) 4x + 2y = 10 and  8x = 16 is correct</h3><h3>Therefore 4x + 2y = 10 and  8x = 16  equations have equivalent solution  (2,1) is same as the solution of given linear system of equations</h3>

Step-by-step explanation:

Given equations are

4x-2y=6\hfill (1)

2x+y=5\hfill (2)

<h3>To find the the equivalent system of linear equations that will produce the same solution as for the given equation :</h3>

First find the solution to the given system of equations by elimination method

Multiply the equation (2) into 2 we get

4x+2y=10\hfill (3)

Now adding the equations (1) and ( 3) we get

4x-2y=6

4x+2y=10

_______________

8x=16

x=\frac{16}{8}

x=2

Therefore the value of x is 2

Substitute the value of x in equation (1) we get

4(2)-2y=6

8-2y=6

-2y=6-8

-2y=-2

y=\frac{-2}{-2}

y=1

Therefore the value of y is 1

Therefore the solution to the given system of equations is (2,1)

<h3>Now to find the equivalent system of equations have same solution (2,1)</h3>

Verify the equations  4x+2y=10\hfill (4) and 8x = 16

From 8x=16

x=\frac{16}{8}

x=2

Therefore the value of x is 2

Substitute x=2 in equation (4) we get

4(2)+2y=10

8+2y=10

2y=10-8

2y=2

y=\frac{2}{2}

y=1

Therefore the value of y is 1

Therefore the solution is (2,1)

<h3>Therefore option d) 4x + 2y = 10 and  8x = 16 equations have equivalent solution  (2,1) is same as the solution of given linear system of equations </h3>
3 0
3 years ago
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