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挑战
\( 48x-72y=30y+24 \)
\( ry=\frac{1}{6}-16x \)
In the given system of equations, r is a constant. If the system 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
\( 3x=36y-45 \)
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
\( 66x=66x \)
How many solutions does the given equation have?
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方程组与方程解的个数挑战
-3x +21px =84
In the given equation, p is a constant. The equation has no solution. What is the value of p ?
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方程组与方程解的个数挑战
The equation \(9x+5=a(x+b)\), where \(a\) and \(b\) are constants, has no solutions. Which of the following must be true?
I. \(a=9\)
II. \(b=5\)
III. \(b\ne\frac{5}{9}\)
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方程组与方程解的个数挑战
\( 3\left(kx+13\right)=\frac{48}{17}x+36 \)
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
\( 2\left(kx-n\right)=-\frac{28}{15}x-\frac{36}{19} \)
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
8x +7y =9
24x +21y =27
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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方程组与方程解的个数挑战
-15x +25y =65
One of the two equations in a system of linear equations is given. The system has infinitely many solutions. Which of the following could be the second equation in the system?
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方程组与方程解的个数挑战
3x +21 =3x +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
\( 4x+12=\frac{a(x+3)}{2} \)
In the given equation, a is a constant. If the equation has infinitely many solutions, what is the value of a?
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方程组与方程解的个数挑战
\( y=\frac{1}{2}x+8 \)
y = cx +10
In the system of equations above, c is a constant. If the system has no solution, what is the value of c ?
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