Answer:
Solution of the system of the equations is (0.882, 0.647)
Step-by-step explanation:
As shown in the figure equations are [tex]y=-\frac{2}{5}x+1[/tex] and y = 3x - 2
Solution of the system of equations will be the common point or point of intersection of these lines.
To get the point of intersection we will solve these equations.
We will equate these equations to get the value of x.
[tex]-\frac{2}{5}x+1=3x-2[/tex]
[tex]-2x+5=15x-10[/tex]
15x + 2x = 10 + 5
17x = 15
[tex]x=\frac{15}{17}[/tex]
x = 0.882
By putting x = 0.882 in y = 3x - 2
y = 3(0.882) - 2
y = 0.647
So the solution of systems of equations is (0.882, 0.647)
