Pregunta
Evaluate: \( 9 x-57 y-4 z-9 x+52 y+11 z+8 \) when \( x=7, y=4 \) and \( z=6 \) : \( \square \)
Ask by Schultz Wright. in Canada
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The value of the expression is 30.
Solución
Substitute \( x=7,y=4,z=6 \) into the expression \( 9x-57y-4z-9x+52y+11z+8 \).
Evaluate the expression by following steps:
- step0: Evaluate:
\(9x-57y-4z-9x+52y+11z+8\)
- step1: Substitute:
\(9\times 7-57\times 4-4\times 6-9\times 7+52\times 4+11\times 6+8\)
- step2: Multiply the numbers:
\(63-57\times 4-4\times 6-9\times 7+52\times 4+11\times 6+8\)
- step3: Multiply the numbers:
\(63-228-4\times 6-9\times 7+52\times 4+11\times 6+8\)
- step4: Multiply the numbers:
\(63-228-24-9\times 7+52\times 4+11\times 6+8\)
- step5: Multiply the numbers:
\(63-228-24-63+52\times 4+11\times 6+8\)
- step6: Multiply the numbers:
\(63-228-24-63+208+11\times 6+8\)
- step7: Multiply the numbers:
\(63-228-24-63+208+66+8\)
- step8: Calculate:
\(30\)
The value of the expression \(9x-57y-4z-9x+52y+11z+8\) when \(x=7, y=4\) and \(z=6\) is 30.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
Let's simplify the expression first: \[ 9x - 57y - 4z - 9x + 52y + 11z + 8 \] Notice that \( 9x \) and \(-9x\) cancel each other out, leaving us with: \[ -57y + 52y - 4z + 11z + 8 \] Now combine the like terms: \[ (-57y + 52y) + (-4z + 11z) + 8 = -5y + 7z + 8 \] Now substitute \( x = 7 \), \( y = 4 \), and \( z = 6 \): \[ -5(4) + 7(6) + 8 \] Calculating each part: \[ -20 + 42 + 8 \] Now, combine these values: \[ -20 + 42 = 22 \] \[ 22 + 8 = 30 \] So the final result is: \[ \boxed{30} \]

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