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Excel in math and science
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Algebra
Linear Equations
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,
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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,
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by Brilliant Staff
What is the interval of all possible values of \(a\) such that the two lines \(x+y=\lvert a \rvert\) and \(ax-y=196\) intersect in the first quadrant?
Excel in math and science
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It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
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by Brilliant Staff
Consider the line passing through two points \((5, 0)\) and \((0, -5)\). Consider another line passing through two points \((-4, 0)\) and \((0, -2)\). If these two lines and a third line \(y=ax-85\) intersect at one point, what is the value of the constant \(a\)?
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
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by Brilliant Staff
A line passing through the intersection point of the two lines \[ x+2y+3=0\;\;\text{and}\;\; 2x-y+\frac{a}{2}=0 \] also passes through two other points \( (9,\ -8)\ \) and \(\ (-17,\ 9) \). What is the value of \( a \)?
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
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by Brilliant Staff
Suppose the intersection point of the two lines \[x-2y-9=0, 2x+3y-53=0\]
is \(P=(a,b)\). What is the value of \(a+b\)?
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,
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by Brilliant Staff