Answer:
The solution to the system of equations is (8,11)
Step-by-step explanation:
A system of linear equations includes the line that is created by the equation y = x+ 3
The line through the points (3, 1) and (4, 3)
[tex](x_1,y_1)=(3,1)\\(x_2,y_2)=(4,3)[/tex]
Equation of line =[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Equation of line =[tex]y-1=\frac{3-1}{4-3}(x-3)[/tex]
Equation of line =y-1=2x-6
Equation of line =y=2x-5
On a coordinate plane, a line goes through (0, 3) and (2, 5).
[tex](x_1,y_1)=(0,3)\\(x_2,y_2)=(2,5)[/tex]
Equation of line =[tex]y-3=\frac{5-3}{2-0}(x-0)[/tex]
Equation of line =y=2x+3
Plot all lines on graph
y = x+ 3 ---- Blue line
y=2x-5 --- Green line
y=2x+3 ---- Purple line
Refer the attached figure :
Hence the solution to the system of equations is (8,11)
