Answer:
(-1/3, 3/4)
Step-by-step explanation:
9x + 8y = 3
6x - 12y = -11
Let's solve the system by eliminating x. We need the coefficients of x to be additive inverses, so they will add to zero eliminating x. The LCM of 9 and 6 is 18. Let's multiply both sides of the first by 2 and both sides of the second equation by -3.
18x + 16y = 6
-18x + 36y = 33
The coefficients of x are 18 and -18, which add to zero. Now we add these two equations.
52y = 39
y = 39/52
y = 3/4
Now we substitute y with 3/4 in the first equation and solve for x.
9x + 8y = 3
9x + 8(3/4) = 3
9x + 6 = 3
9x = -3
x = -3/9
x = -1/3
Solution: (-1/3, 3/4)
Let us assume the gas bill of Paul in February = x dollars
Then
Electric bill of Paul for the month of February = (x/2) + 3
Amount of Electricity bill of Paul for the month of February = $92
then we can write the equation as
(x/2) + 3 = 92
x/2 = 92 - 3
x/2 = 89
x = 89 * 2
= 178 dollars
So the gas bill of Paul in February is $178. I hope this is the answer you were looking for.
|4-9|
|-5|
5
|4|-9
4-9
-5
absolute value is the numbers distance from zero
