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
\( nx+3t=-3x+4n \)
In the given equation, \( n \) and \( t \)are constants. The equation has no solution. What CANNOT be the value of \( n+t \)?
知序中文精讲
方程组与方程解的个数进阶
\( \frac{2}{5}x+\frac{7}{5}y=\frac{2}{7} \)
\( gx+ky=\frac{5}{2} \)
In the given system of equations, g and k are constants. The system has infinitely many solutions. What is the value of \( \frac{g}{k} \)?
知序中文精讲
方程组与方程解的个数基础
y = 6x + 18One of the equations in a system of two linear equations is given. The system has no solution. Which equation could be the second equation in the system?
知序中文精讲
方程组与方程解的个数进阶
\( 30x=1,800y-2,700 \)
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?
知序中文精讲
方程组与方程解的个数进阶
\( \frac{4}{5}x+\frac{6}{5}y=g \)
\( \frac{8}{13}x+hy=k \)
In the given system of equations, g, h, and k are constants. The system has infinitely many solutions. What is the value of \( \frac{g}{k} \)?
知序中文精讲
方程组与方程解的个数进阶
5x+3y=6
The given equation is one equation in a system of two linear equations. If the system of equations has at least one solution, which of the following equations could be the other equation in the system?
I. 7.5x+4.5y=9
II. 7.5x-4.5y=9
知序中文精讲
方程组与方程解的个数进阶
4x - 6y = 10y +2
ty= \(\frac{1}{2}\)+2x
In the given system of equations,t is a constant. If the system has no solution, what is the value of t?
知序中文精讲
方程组与方程解的个数进阶
\( \frac{12x+16}{4}-\frac{s}{13}=r\left(x-9\right) \)
In the given equation, s and r are constants, and \( s>0. \) If the equation has infinitely many solutions, what is the value of s?
知序中文精讲
方程组与方程解的个数进阶
\( -\frac{3}{19}rx+\frac{s}{8}=10-\frac{5}{57}x \)
In the given equation, r and s are constants. The equation has no solution. What is the value of r?
知序中文精讲
方程组与方程解的个数进阶
3x+5y=89x+15y=24For each real number r, which of the following points lies on the graph of each equation in the xy-plane for the given system?
知序中文精讲
方程组与方程解的个数基础
\( -12x+14y=36 \)
\( -6x+7y=-18 \)
How many solutions does the given system of equations have?
知序中文精讲
方程组与方程解的个数进阶
\( 7x+6y=5 \)
\( 28x+24y=20 \)
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?
知序中文精讲
