Question

Solve the following system of equations by linear combination:

2d – e = 7 d + e = 5

a. The solution is (4, 1).
b. There are an infinite number of solutions.
c. The solution is (3, –1).
d.There is no solution.

Answer 1

Answer:the answer is (4,1)

Step-by-step explanation:took the test and got it right

Answer 2

The solution is (4, 1).

Explanation:

For the first multiply the second equation by -1 then add them together.

4x + y = 5

-1( 3x + y = 3)

4x + y = 5

-3x - y = -3

x=2

Plug that in and you get -3 for y

Answer is (2,-3)

For the second, just add them

2d – e = 7

d + e = 5

3d=12

d=4

Plug that into either equation and e is 1

The solution is (4, 1).