Question

Solve the system of equations by graphing.

$\begin{array}{c}20y+13x=10\\ 0.65x+y=0.5\end{array}$

Short answer

The system of equation has infinite solutions.

Step-by-step solution

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 $20y+13x=10$and$0.65x+y=0.5$.

The point which satisfies the equation$20y+13x=10$are$(0,0.5)$and$(\frac{10}{13},0)$.

The point which satisfies the equation $0.65x+y=0.5$are $(0,0.5)$and$(\frac{10}{13},0)$.

Step-4 –Plotting the graph

The two equations represent same straight line and so has infinite solutions.