Q18. - Algebra 2

Question

Solve the system of equations by graphing. 

$\begin{array}{c}-2x-6y=0\\ 3x+11y=4\end{array}$

Step-by-Step Solution

Answer

The solution of the equation is $x=-6$ and $y=2$

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 $-2x-6y=0$ and $3x+11y=4$.

The points which satisfy the equation $-2x-6y=0$ are $(0,0)$ and $(3,-1)$.

The points which satisfy the equation $3x+11y=4$ are $(5,-1)$ and$(-6,2)$.

Step-4 –Plotting the graph

The two linear equations intersect at $(-6,2)$ in the graph.