The solution to the systems of equations graphically and by substitution is (6.5, 29.5)
Solving the systems of equations graphically and by substitution
From the question, we have the following parameters that can be used in our computation:
√(x + y) =6
5x - y = 3
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This point is located at (6.5, 29.5)
Solving by substitution, we have
√(x + y) =6
5x - y = 3
This gives
x + y = 36
5x - y = 3
So, we have
y = 36 - x
By substitution, we have
5x - 36 + x = 3
This gives
6x = 39
x = 6.5
Solving for y, we have
y = 36 - 6.5
y = 29.5
Hence, both solutions are accurate