Q20. - Algebra 2

Question

 Solve the system of equations by graphing.

$\begin{array}{c}x+y=4\\ x-y=8.5\end{array}$

Step-by-Step Solution

Answer

The solution of the equation is $x=6.25$ and$y=-2.25$.

Step-1 – Concept of solution of linear equations

The solution of the equation is the point where the two line intersect the graph.

Step-2 – Concept of plotting the graph of linear equation

The linear equation can be plotted in the graph by taking at least two points which satisfies the linear equations.

Step-3 – Evaluation of points

The given linear equations are $x+y=4$ and $x-y=8.5$.

The point which satisfies the linear equation $x+y=4$ are $(0,4)$ and$(4,0)$.

The point which satisfies the linear equation $x-y=8.5$ are $(0,-8.5)$ and$(8.5,0)$.

Step-4 –Plotting the graph

The two linear equations intersect at $(6.25,-2.25)$ in the graph.