Solve the system of equations and choose the correct answer from the list of options.
d + e = 15
−d + e = −5
Label the ordered pair as (d, e).
(0, 0)
(10, −5)
(5, 10)
(10, 5)
I would just add them to get
2e = 10
e = 5
now back-sub
d + e = 15
d + 5 = 15
d = 10
5
Sorry, your answer is incomplete. What is your final answer for the ordered pair (d, e)?
To solve the system of equations, we can use the method of elimination by adding the two equations together.
Adding the two equations:
(d + e) + (-d + e) = 15 + (-5)
Simplifying:
2e = 10
Divide both sides by 2:
e = 5
Now we can substitute the value of e back into one of the original equations to solve for d. Let's use the first equation:
d + 5 = 15
Subtract 5 from both sides:
d = 10
So the solution to the system of equations is d = 10 and e = 5, which can be written as the ordered pair (d, e) = (10, 5).
Comparing this with the given options, we can see that the correct answer is (10, 5).