Provide a system of equations in slope-intercept form that has one solution. Using complete sentences, explain why this system has one solution.
No solution
No the only time that a system of equations would have no solutions is when the two equations have the same slope but different y-intercepts which would mean that they are parallel lines. However, if they have different slopes and different y-intercepts than the solution would be where the two lines intersect.
If they have the same slope, then there are two possibilities. First say they have the same slope and different y intercepts. This means they are parallel lines and there is no intersection. The solution is the empty set or we say there is no solution.If the y intercept is the same, then the two equations represent the same line. In this case there is an infinite number of solutions.
I may only be in 8th grade but I am absolutely positive that all quadratic equations have 2 solutions. No - They may have 0,1, or 2 answers For example, the problem x^2 + 8x +16 = 0 has only one solution -4. This is because the radical evaluates to 0 rendering the +/- sign irrelevant.
The answer depends on the shape: there is no general solution.
Sample Response: Equivalent equations have the same solution. You can create equivalent equations by performing the same operations on each side of the equation. You can check for equivalence by finding the solution for each equation.
there is no linear equations that has no solution every problem has a solution
Equivalent equations are equations that have the same solution set.
Equivalent equations
They are simultaneous equations
The solution of a system of linear equations is a pair of values that make both of the equations true.
The solution is the coordinates of the point where the graphs of the equations intersect.
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.
The graphs of the two equations have only one intersection point.
Conventional equations show the overall reactants and products of a chemical reaction, using formulas without detailing the ionic species involved. In contrast, complete ionic equations break down soluble ionic compounds into their individual ions, illustrating all species present in the solution. This allows for a clearer understanding of the actual chemical species participating in the reaction, particularly in aqueous solutions. Ultimately, complete ionic equations can reveal spectator ions that do not participate in the reaction, which are omitted in conventional equations.
equal equations.