Madicat500
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The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.

Which solution can be used to fill in both blanks in the table?

A: (2, 5)
B: (5, 2)
C: (5, −8)
D: (−8, 5)

The table can be used to determine the solution of equations 2x 2y 6 and 4x 4y 28Which solution can be used to fill in both blanks in the tableA 2 5 B 5 2C 5 8D class=

Respuesta :

Aliwohaish12
B is the correct answer to your question
calculista

we have

[tex] 2x-2y=6 [/tex] ------> equation [tex] 1 [/tex]

[tex] 4x+4y=28 [/tex] ------> equation [tex] 2 [/tex]

Multiply by [tex] 2 [/tex] the equation [tex] 1 [/tex]

[tex] 4x-4y=12 [/tex] ------> equation [tex] 3 [/tex]

Sum equation [tex] 2 [/tex] and equation [tex] 3 [/tex]

[tex] 4x+4y=28\\ 4x-4y=12\\ ------\\ 8x=40\\ x=40/8\\ x=5 [/tex]

Substitute the value of x in the equation [tex] 2 [/tex]

[tex] 4x+4y=28 [/tex]

[tex] 4*5+4y=28\\ 4y=28-20\\ 4y=8\\ y=8/4\\y=2 [/tex]

therefore

the answer is the option B

[tex] (5,2) [/tex]

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