5272道题目5525 条题源记录 · 相同内容已合并
方程组与方程解的个数进阶
\( 7x+21=7x+k \)
In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k ?
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方程组与方程解的个数挑战
\( 3x=45y-27 \)
One of the two equations in a system of linear equations is given. The system has no solution. Which equation could be the second equation in this system?
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方程组与方程解的个数挑战
How many solutions does the equation \( 2x-3=2x \) have?
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方程组与方程解的个数挑战
\( x\left(r-7\right)+3=17x+25 \)
In the given equation, r is a positive integer. If the given equation has exactly one solution, what CANNOT be the value of r?
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方程组与方程解的个数挑战
\( y=\frac{2}{7}x+3 \)
One of the two equations in a system of linear equations is given. The system has infinitely many solutions. If the second equation in the system is \( y=mx+b \), where m and b are constants, what is the value of b?
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方程组与方程解的个数挑战
\( x\left(r-7\right)+3=19x+25 \)
In the given equation, r is a positive integer. If the given equation has exactly one solution, what CANNOT be the value of r?
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方程组与方程解的个数进阶
\( 5\left(kx-n\right)=-\frac{65}{14}x-\frac{85}{18} \)
In the given equation, k and n are constants and \( n>1 \) . The equation has no solution. What is the value of k?
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方程组与方程解的个数挑战
\( 16x-20y=6y+8 \)
\( ty=8x+\frac{1}{5} \)
In the given system of equations, t is a constant. If the system has no solution, what is the value of t?
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方程组与方程解的个数进阶
\( 3x+9y=10 \)
\( rx+18y=20 \)
In the given system of equations, r is a constant. The system has infinitely many solutions. What is the value of r?
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方程组与方程解的个数挑战
\( 5x+3=rx+7 \)
In the given equation, r is a constant. The equation has no solution. What is the value of r?
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方程组与方程解的个数挑战
\( \frac{5}{9}(x-k)=k\left(x-\frac{9}{5}\right) \)
In the given equation, \( k \) is a constant. The equation has no solution. What is the value of \( k \)?
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方程组与方程解的个数挑战
\( 2x+5y=9 \)
\( 12x+30y=54 \)
For each real number \( r \), which of the following points lies on the graph of each equation in the \( xy \)-plane for the given system?
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