# Parametric Linear Equations: Problems with Solutions

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

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