Pregunta
\( 2 x-3 y=8 \) \( 5 x-4 y=25 \) Is \( (4,0) \) a solution to the system above? True \( \bigcirc \) False Submit Question
Ask by Brewer Lee. in the United States
Feb 24,2025
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(4, 0) is not a solution to the system.
Solución
To check if (4, 0) is a solution, substitute x = 4 and y = 0 into each equation.
For the first equation:
2(4) - 3(0) = 8 - 0 = 8, which equals the right side of the equation.
For the second equation:
5(4) - 4(0) = 20 - 0 = 20, which does not equal 25.
Since (4, 0) does not satisfy the second equation, it is not a solution to the system.
The answer is: False.
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Simplifique esta solución Beyond the Answer
To check if \( (4,0) \) is a solution to the system of equations, substitute \( x = 4 \) and \( y = 0 \) into both equations. For the first equation: \( 2(4) - 3(0) = 8 \) \( 8 = 8 \) (True) For the second equation: \( 5(4) - 4(0) = 25 \) \( 20 = 25 \) (False) Since it satisfies the first equation but not the second, \( (4,0) \) is not a solution to the system. The answer is False. To make it more engaging, think of checking if \( (4,0) \) is like trying to get into a club with two bouncers (the equations). You may charm one bouncer (the first equation), but if the other calls you out, it's game over – you're just not on the list!
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