Answer:
After solving the pair of simultaneous equations we get x=5 and y=1. Solution Set = {5,1}
Step-by-step explanation:
We need to solve the pair of simultaneous equations
[tex]0.6x-4y=-1\\0.8x-3.5y=0.5[/tex]
We can solve using substitution method.
Let:
[tex]0.6x-4y=-1--eq(1)\\0.8x-3.5y=0.5--eq(2)[/tex]
Find value of x from eq(1) and put it in eq(2)
[tex]From \ eq(1):\\0.6x-4y=-1\\0.6x=-1+4y\\x=\frac{-1+4y}{0.6}[/tex]
Putting in equation 2
[tex]0.8x -3.5y =0.5\\0.8(\frac{-1+4y}{0.6})-3.5y=0.5\\1.33(-1+4y)-3.5y=0.5\\-1.33+5.32y-3.5y=0.5\\-1.33+1.82y=0.5\\1.82y=0.5+1.33\\1.82y=1.83\\y=\frac{1.83}{1.82}\\y=1.00[/tex]
So, we get value of y= 1.00
Now finding value of x by putting value of y in eq(1)
[tex]x=\frac{-1+4y}{0.6}\\x= \frac{-1+4(1.00)}{0.6}\\x=\frac{3}{0.6}\\x=5[/tex]
We get value of x = 5
So, After solving the pair of simultaneous equations we get x=5 and y=1. Solution Set = {5,1}
