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Shkiper50 [21]
3 years ago
15

Algebraically solve the system of equations 2x + y = 5 and 5x − 2y = 8.

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

Answer:

x=2, y=1

Step-by-step explanation:

2x + y = 5

5x − 2y = 8.

Multiply the first equation by 2

2( 2x + y) = 5*2

4x +2y = 10

Add this to the 2nd equation to eliminate y

4x+2y = 10

5x -2y = 8

--------------------

9x = 18

Divide by 9

9x/9 = 18/9

x = 2

Now find y

2x+y = 5

2(2)+y = 5

4+y = 5

Subtract 4 from each side

y = 5-4

y =1

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The correct answer is option B which is the graph that represents the equation y = (1/2)x will be the second option in the figure. At every value of y, the value of x is double.

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A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph of the equation y =1/2x is represented in the answer below we can see in the graph that at every value of y the value of x is double for example if we put y = 1 then the value of x will be 2.

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