Use elimination to solve the system. 2x + 3y = 1
5x – 4y = 14

help would be appreciated :)

x = 2, y = -1

Step-by-step explanation:

To solve this with elimination, we first multiply the first equation by -2.5

Our new equations are:

-5x - 7.5y = -2.5

5x – 4y = 14

After adding these two equations together, the x cancels out and we have:

-11.5y = 11.5

Divide both sides by -11.5

y = -1

Plugging this value into y in one of the equations we have:

2x + 3y = 1

2x + 3(-1) = 1

2x - 3 = 1

Add 3 to both sides

2x = 4

Divide both sides by 2

x = 2

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