Examples of equations that have no solutions
But I'd bet good money that there will be at least one of these equations on the next test, with another one probably on the final. So study up, and make a note now to review "no solution" equations and "all-x solution" equations before the next exam. Solutions. The solution of an equation is the value(s) of the variable(s) that make the equation a true statement. An equation like 2 x + 3 = 7 is a simple type called a linear equation in one variable. These will always have one solution, no solutions, or an infinite number of solutions. Practice telling whether an equation has one, zero, or infinite solutions. For example, how many solutions does the equation 8(3x+10)=28xx have? If you're seeing this message, it means we're having trouble loading external resources on our website.