Step-by-step explanation:


To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the
variable when we add the two equations together.
Right now, there's a
term in the first equation, and a
term in the second equation, so if we add those together, we'll be able to eliminate the
variable altogether and solve for
.
However, when we also have a
term in the first equation and
term in the second equation, so adding these together will also eliminate the
term, leaving a
on the left-hand side of the equation.
If we add the two numbers on the right side of the equation, we get
, which does not equal
, meaning there are no solutions to this system of equations.
Answer:
−8y2+9x+4y+11
Step-by-step explanation:
Answer:
2x to the second power +x−10
Step-by-step explanation:
Let's simplify step-by-step.
5x+x2−4−(4x−x2+6)
Distribute the Negative Sign:
=5x+x2−4+−1(4x−x2+6)
=5x+x2+−4+−1(4x)+−1(−x2)+(−1)(6)
=5x+x2+−4+−4x+x2+−6
Combine Like Terms:
=5x+x2+−4+−4x+x2+−6
=(x2+x2)+(5x+−4x)+(−4+−6)
=2x2+x+−10
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Answer:
150 miles
Step-by-step explanation:
In this problem, we are only interested in the distance that Lauren drove, this means that her average speed (75 mph to the cost, and 25 mph on the way back) does not matter since the distance remains the same. If one leg of trip is 75 miles long, the total mileage for the round trip is:

Lauren drove 150 miles.