Parametric Linear Equations - Problems with Solutions

Problem 1
Find the value of a, for which the equation [tex]ax=1[/tex] has no solutions.
Problem 2
Find the value of the real parameter a, for which the equation [tex](a-2)x=(a-2)^2[/tex] has any x for solution.
Problem 3
Find the value of the parameter b, for which the equation 0x=b-7 has at least one solution x.
Problem 4
Solve the equation for a=3:
[tex]x+a=2a+1[/tex]
Problem 5
Find the value of a, for which the equation
[tex]\frac{1}{a+5}x=a+7[/tex] is not defined.
Problem 6
Solve the equation [tex](a^3+1)x=109+a[/tex] for [tex]a=3[/tex]
Problem 7
Solve the equation [tex](a^4-250)x=a^3+2[/tex] for a=4.
Problem 8
Solve the parametric linear equation [tex](a^3+9)x=237+10a[/tex] for a=-2.
Problem 9
Solve the equation [tex]5ax=85[/tex] for a=17.
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