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Does the ordered pair (-5, -3) satisfy the following system of equations? { -4x+ 4y = 36 { 3x - y = -17

1 Answer

5 votes

Answer:

No

Explanation:

to determine if the ordered pair (- 5, - 3 ) satisfies the equation.

substitute the coordinates x = - 5 , y = - 3 into the left side of both equations and if the value obtained is equal to the right side , then it satisfies the system of equations

- 4x + 4y

= - 4(- 5) + 4(- 3)

= 20 - 12

= 8 ≠ 36 ← not satisfied

3x - y

= 3(- 5) - (- 3)

= - 15 + 3

= - 12 ← not satisfied

Since neither equation is satisfied (- 5, - 3 ) is not a solution to the system

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User Frank Drebin
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