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
\( y=\frac{2}{5}x+7 \)
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进阶
\( 7x-2y=2y+5 \)
\( hy=4+7x \)
In the given system of equations, h is a constant. If the system has no solution, what is the value of h?
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方程组与方程解的个数挑战
How many solutions does the equation 11( x + 18) + 7x = 18( x +11) have?
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方程组与方程解的个数进阶
\( -3x+6rx=54 \)
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进阶
\( 7x+5y=4 \)
\( 21x+15y=12 \)
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
How many solutions does the equation \( 7x-19=19-7x \) have?
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方程组与方程解的个数进阶
\( y=\frac{4}{7}x+5 \)
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
方程组与方程解的个数挑战
\( 8x+7y=3 \)
\( 40x+35y=15 \)
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
The graph of line g is shown in the xy-plane. Line k is defined by \( 165x+py=w \) , 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 \( p+w \)?
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方程组与方程解的个数挑战
\( 7x+5y=2 \)
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.\( 10.5x+7.5y=3 \)
Ⅱ.\( 10.5x-7.5y=3 \)
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方程组与方程解的个数挑战
How many solutions does the equation \( 5x+3=5x \) have?
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方程组与方程解的个数进阶
\( \frac{1}{9}x-\frac{3r}{7}y=34 \)
One of the equations in a system of two linear equations is given, where r is a nonzero constant. The system has no solution. If the other equation in the system is graphed in the xy-plane, what is the slope of the graph?
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