A graph of the system of equations is shown in the picture below.
The coordinates of the point of intersection are (3, 6).
In order to graphically determine the solution for this system of linear equations on a coordinate plane, we would make use of an online graphing calculator to plot the given system of linear equations while taking note of the point of intersection;
y = 2x ......equation 1.
y = x + 3 ......equation 2.
Based on the graph shown, we can logically deduce that the solution for this system of linear equations is the point of intersection of each lines on the graph that represents them in quadrant I. Hence, this is represented by the ordered pair (3, 6).
In this context, the pair of linear equation has exactly one solution;
x = 3
y = 6
Complete Question:
Yuri wrote twice as many poems as Xena. Yuri wrote three more poems than Xena. The number of poems written can be represented by the system equations
y=2x and y=x+3
Graph both equations on the coordinate plane. show the point of intersection