Well using elimination is easy because they basically did it for you.
4x-5y=-6
2x+5y=12
The postive 5y and negative 5y cancel out because -5y plus 5y is zero.
so you are left with
4x=-6
2x=12
Add these together
6x=18
divide both sides by 6 and Solve to find your x
x=3
Now we have to eliminate x to find y.
we multiply the second equation by -2 so it can cancel out so
(2x+5y=12)-2
-4x-10y=24
Add the equations together
4x-5y=-6
-4x-10y=24
You are left with -15y = 30
Solve for y
y = -2
So your final answer for the elimination would be
(3,-2)
Answer:
Which graph represents the solution set to this system of equations? –x + 2y = 6 and 4x + y = 3
On a coordinate plane, a line goes through (negative 1, negative 1) and (0, 3) and another line goes through (1, 4) and (2, 2).
On a coordinate plane, a line goes through (negative 4, 0) and (0, 4) and another line goes through (negative 1, 1) and (0, negative 3).
Step-by-step explanation:
Answer:
15.4 gallons .
Step-by-step explanation:
The rate of gas used = 380/14 = 27.14 gallons per gallon.
So for each gallon used you drive 27.14 miles.
So number of gallons used when travelling 418 miles = 418/27.14
= 15.4 gallons .
