Let \(x=a\), \(y=b\) and \(z=c\) be the values of \(x\), \(y\) and \(z\), respectively, that satisfy the system of linear equations
\[
\begin{align}
x-y&=3 \\
y+z&=25 \\
z-x&=8.
\end{align}\]
What is the value of \(a+b+c\)?

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Let \(x=a\), \(y=b\) and \(z=c\) be the values of \(x\), \(y\) and \(z\), respectively, that satisfy the system of linear equations
\[ \begin{align}
x+2y&= 24 \\
2y+3z&= 58\\
x+3z&= 38.
\end{align}\]
What is the value of \(a+b+c\)?

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Let \(x=a\), \(y=b\) and \(z=c\) be the values of \(x\), \(y\) and \(z\), respectively, that satisfy the system of linear equations
\[ \frac{3-x}{2}= \frac{y+1}{3}=\frac{2z-1}{5}, \, 3x+2y+z=65. \]
What is the value of \(a+b+c\)?

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Let \(x=A\), \(y=B\) and \(z=C\) be the solutions of the simultaneous equations
\[\begin{align}
x+y+z &= 270 \\
x-y+z &= 90 \\
x+y-z &=0.
\end{align}\]
What is the value of \(\frac{A+B}{C}\)?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

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Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

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Your answer seems reasonable.
Find out if you're right!