−3x−4y=4
−5x+y=2

Is (2,10)left parenthesis, 2, comma, 10, right parenthesis a solution of the system?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Respuesta :

(2, 10) is not a solution to the system of equations.

Given the system of equations;

−3x−4y=4 ..................... 1 * 1

−5x+y=2 ......................... 2 * 4

Solving using the elimination method

−3x−4y=4  

−20x+4y=8

Add both expressions

-3x - 20x = 4 + 8

-23x = 12

x = -12/23

Substitute x = -12/23 into the equation 2

-5(-12/23) + y = 2

60/23 + y = 2

y = 2 - 60/23

y = (46-60)/23

y = -14/23

This shows that (2, 10) is not a solution to the system of equations.

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