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Provide a system of equations in slope-intercept form that has one solution. Using complete sentences, explain why this system has one solution.

Q: System of equations in slope-intercept form that has one solution Using complete sentences explain why this system has one solution?

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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.

Related questions

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.

equal equations.

No because there are no equations there to choose from.