What is the solution of the following linear system of equations? 4y=−5x−2, x−4y=14

X = 2 and Y = -3

Step-by-step explanation:

4y = -5x - 2

x - 4y = 14

5x + 4y = -2 equation 1

x - 4y = 14 equation 2

Using Elimination Method

Add Equation 1 to Equation 2

6x = 12

Divide both side by 6

X= 2

Put X= 2 into Equation 1

5(2) + 4y = -2

10 + 4y = -2

4y = -2 - 10

4y = -12

Divide both side by 4

Y = -3

Therefore

x = 2

y = -3

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step-by-step explanation:

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