If one Bitcoin and 100,000 Dogecoin are worth $480, and two Bitcoin and 150,000 Dogecoin are worth $948, would you rather have one Bitcoin or 100,000 Dogecoin?

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 \(a+b+c\)?

Excel in math and science

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It’s hard to learn from lectures and videos

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Our wiki is made for math and science

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examples, and problems from the community.

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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 \(a+b+c\)?

Excel in math and science

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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

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

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

Used and loved by 4 million people

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including olympiad champions, researchers, and professionals.

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