Yes. But only if the equation is of the form y = c where c is a non-zero constant.
A linear equation has a n infinite number of solutions. The coordinates of each point on the line is a solution.
No. A pair of linear equation can have 0 solutions (they are parallel), or one solution (they cross at one point) or an infinite number of solutions (they represent the same line).
A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.
If it is a straight line, then the equation is linear.
A linear equation.
the Bratu's equation is a differential equation which is non-linear (such as, if we have some solutions for it, a linear combinaison of these solutions will not be everytime a solution). It's given by the equation y''+a*e^y=0 or d²y/dy² =-ae^y.
Linear equations with one, zero, or infinite solutions. Fill in the blanks to form a linear equation with infinitely many solutions.
No, a linear equation in two variables typically has one unique solution, which represents the intersection point of two lines on a graph. However, if the equation represents the same line (as in infinitely many solutions) or if it is inconsistent (no solutions), then the type of solutions can vary. In general, a single linear equation corresponds to either one solution, no solutions, or infinitely many solutions when considering the same line.
Either an infinite number or none.
It represents all solutions to the linear equation.
It is a quadratic equation that normally has two solutions
A linear equation in two variables represents a straight line on a Cartesian plane. Each point on this line corresponds to a unique pair of values for the two variables that satisfy the equation. Since there are infinitely many points on a line, there are also infinitely many solutions to the equation. Thus, any linear equation in two variables has an infinite number of solutions.