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方程组与方程解的个数挑战

How many solutions does the equation\( 7\left(x+12\right)+5x=12\left(x+7\right) \) have?
原库参考解析
2024年11月A卷 · 原库模块 2 · Q8作答 ↗
方程组与方程解的个数进阶

\( 45x+33y-200=-359 \) 
\( 2wx+11y=-53 \) 
In the given system of equations, w is a constant. The system has infinitely many solutions. What is the value of w?
原库参考解析
2024年11月B卷(易) · 原库模块 1 · Q18作答 ↗
方程组与方程解的个数进阶

How many solutions does the equation \( 17\left(x-16\right)=-16\left(x+17\right) \) have?
原库参考解析
2024年11月C卷练习 · 原库模块 1 · Q19作答 ↗
方程组与方程解的个数进阶

\( y=\frac{2}{5}x+2 \) 
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?
原库参考解析
2024年12月A卷 · 原库模块 1 · Q5作答 ↗
方程组与方程解的个数挑战

\( a\left(7x-14\right)+5a=7\left(ax-2a\right)-35 \) 
In the given equation, a is a constant. The equation has infinitely many solutions. What are all possible values of a?
原库参考解析
2024年12月A卷 · 原库模块 2 · Q11作答 ↗
方程组与方程解的个数进阶

题目图表
The graph of line h is shown in the xy-plane. Line k (not shown) is defined by \( sx+40y=t, \) where s and t are constants. If line k is graphed in this xy-plane, the result is a graph of two linear equations. This system of two linear equations has no solution. Which of the following is NOT a possible value of t?
原库参考解析
2024年12月B卷 · 原库模块 1 · Q22作答 ↗
方程组与方程解的个数挑战

\( 13\left(x-n\right)=13y+13n \) 
One of the equations in a system of two linear equations is given, where n is a positive constant. The system has no solution. Which equation could be the second equation in this system?
原库参考解析
2024年12月B卷 · 原库模块 2 · Q21作答 ↗
方程组与方程解的个数进阶

y= -4x-2
One of the two equations in a system of linear equations is given. The system has no solution. Which of the following could be the second equation in this system?

原库参考解析
2024年3月A卷 · 原库模块 1 · Q16作答 ↗
方程组与方程解的个数进阶

6x +28 =6x +k
In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k?

原库参考解析
2024年3月A卷 · 原库模块 1 · Q4作答 ↗
方程组与方程解的个数挑战

-3x+6rx=54
In the given equation, r is a constant. The equation has no solution. What is the value of r?

原库参考解析
2024年3月A卷 · 原库模块 2 · Q4作答 ↗
方程组与方程解的个数挑战

题目图表
The graph of line g is shown in the xy-plane. Line k is defined by 195x + py = w, where p and w are constants. If line k is graphed in this xy-plane, resulting in the graph of a system of two linear equations, the system of two linear equations will have infinitely many solutions. What is the value of p+ w?
原库参考解析
2024年3月B卷 · 原库模块 2 · Q15作答 ↗
方程组与方程解的个数进阶

2x = 16y - 20
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?

原库参考解析
2024年3月C卷练习 · 原库模块 1 · Q22作答 ↗