Question

The tables represent two linear functions in a system.

What is the solution to this system?
у
0 (43, -25)
0 - 14.-54]
O (-13, -50)
O (-14, -54)

Answer 1

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From left to right for the tables :

`1) \: \: \: \: y = 4x + 2`

And

`2) \: \: \: \: y = 3x - 12`

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To find the solution we need to take equal above equations .

`4x + 2 = 3x - 12`

Subtract sides 3x

`- 3x + 4x + 2 = - 3x + 3x - 12 \\`

`x + 2 = - 12`

Subtract sides 2

`x + 2 - 2 = - 12 - 2`

`x = - 14`

Thus the x-coordinate of the solution must be -14 which is just in the last option.

Thus the correct answer is the last one.

Done...

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Answer 2

the last one. d.
hope that helps :)