Question

2. Solve the following pair of simultaneous equations

0.6x - 4y=-1
1
0.8x -3.5y =0.5
2​

Answer 1

After solving the pair of simultaneous equations we get x=5 and y=1. Solution Set = {5,1}

Explanation:

We need to solve the pair of simultaneous equations

`0.6x-4y=-1\\0.8x-3.5y=0.5`

We can solve using substitution method.

Let:

`0.6x-4y=-1--eq(1)\\0.8x-3.5y=0.5--eq(2)`

Find value of x from eq(1) and put it in eq(2)

`From \ eq(1):\\0.6x-4y=-1\\0.6x=-1+4y\\x=(-1+4y)/(0.6)`

Putting in equation 2

`0.8x -3.5y =0.5\\0.8((-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=(1.83)/(1.82)\\y=1.00`

So, we get value of y= 1.00

Now finding value of x by putting value of y in eq(1)

`x=(-1+4y)/(0.6)\\x= (-1+4(1.00))/(0.6)\\x=(3)/(0.6)\\x=5`

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}