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
\( 4x+9y=30 \)
\( rx+18y=60 \)
In the given system of equations, r is a constant. The system has infinitely many solutions. What is the value of r?
\( rx+18y=60 \)
In the given system of equations, r is a constant. The system has infinitely many solutions. What is the value of r?
参考答案
方程组与方程解的个数进阶
The graph of a system of three equations is shown.

The system consists of two linear equations and one quadratic equation. How many solutions does this system have?

The system consists of two linear equations and one quadratic equation. How many solutions does this system have?
参考答案
方程组与方程解的个数挑战
\( 8x+7y=5 \)
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. \( 12x+10.5y=7.5 \)
II. \( 12x-10.5y=7.5 \)
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. \( 12x+10.5y=7.5 \)
II. \( 12x-10.5y=7.5 \)
参考答案
方程组与方程解的个数挑战
Which system of linear equations has no solution?
参考答案
方程组与方程解的个数基础
\( y=3x+7 \)
One of the two equations in a system of linear equations is given. The system has infinitely many solutions. Which equation could be the second equation in this system?
One of the two equations in a system of linear equations is given. The system has infinitely many solutions. Which equation could be the second equation in this system?
参考答案
方程组与方程解的个数进阶
Which equation has no solution?
参考答案
方程组与方程解的个数进阶

If a new graph of three linear equations is created using the system of equations shown and the equation \( x+4y=-32 \), how many solutions (x, y) will the resulting system of three equations have?
参考答案
方程组与方程解的个数挑战
\( c(x-2)=-5(x+k) \)
In the given equation, c and k are constants. The equation has exactly one solution. Which of the following statements must be true?
In the given equation, c and k are constants. The equation has exactly one solution. Which of the following statements must be true?
参考答案
方程组与方程解的个数基础
\( -5x+10y=75 \)
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?
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?
参考答案
方程组与方程解的个数挑战
\( \frac{5}{4}(x-k)=k\left(x-\frac{4}{5}\right) \)
In the given equation, k is a constant. The equation has no solution. What is the value of k?
In the given equation, k is a constant. The equation has no solution. What is the value of k?
参考答案
方程组与方程解的个数进阶
At how many points do the graphs of the equations \( y=x+13 \) and \( y=4x \) intersect in the xy-plane?
原库参考解析
方程组与方程解的个数挑战
How many solutions does the equation \( 4\left(16x-20\right)=-16\left(5-4x\right) \) have?
原库参考解析
