During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.

cost per unit of gas i.e y= 0.36

Step-by-step explanation:

Let cost per unit of electricity = x

and cost per unit of gas = y

The equations required will be:

We need to find value of y i.e cost per unit of gas

Solving equations to find value of y

We will use elimination method

Multiply equation 1 by 4 and 2 by 6

Subtracting eq 1 from eq 2

Solving we get y=0.36

Putting value of y in eq(1) to find value of x

Value of x = 0.59

But we need to find only cost of unit of gas i.e y

So, cost per unit of gas i,e y= 0.36