Pregunta
10. a) Solve the following simultaneous equation (4marks) \( 2 \mathrm{X}-3 \mathrm{y}+3 \mathrm{z}=-4 \)
Ask by Macdonald Gonzalez. in Kenya
Feb 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The solution is \( x = \frac{-4 + 3y - 3z}{2} \).
Solución
Solve the equation \( 2x-3y+3z=-4 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(2x-3y+3z=-4\)
- step1: Move the expression to the right side:
\(2x=-4-\left(-3y+3z\right)\)
- step2: Remove the parentheses:
\(2x=-4+3y-3z\)
- step3: Divide both sides:
\(\frac{2x}{2}=\frac{-4+3y-3z}{2}\)
- step4: Divide the numbers:
\(x=\frac{-4+3y-3z}{2}\)
The solution to the simultaneous equation \(2x - 3y + 3z = -4\) is \(x = \frac{-4 + 3y - 3z}{2}\).
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Simplifique esta solución Extra Insights
To solve the simultaneous equation \( 2X - 3Y + 3Z = -4 \), we need another equation involving the same variables. However, if you're only provided this one equation, it's impossible to find unique values for \(X\), \(Y\), and \(Z\). Normally, you'd require a minimum of two more equations to solve for three variables. Once additional equations are provided, you can use methods like substitution or elimination to find the solutions. For instance, if you had another equation like \( X + Y + Z = 2 \) and \( 3X - Y - Z = 5 \), you'd then be able to manipulate those to find a value for each variable. If you have more equations, feel free to share, and we can solve it step by step!
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