Question

Part 1: Decide whether you would use the graphing, substitution, or elimination method to solve the following system of equations. Explain, in complete sentences, why you chose that method.
Part 2: Solve the following system of equations and show all of your work.

5x + 3y = 8
y = −2x + 1

Answer 1

I would use the substitution method because you already have "y" by itself.
5x + 3y = 8
y = -2x + 1

Now substitute -2x + 1 in for y in the first equation
5x + 3(-2x + 1) = 8
5x - 6x + 3 = 8
-x = 8 - 3
-x = 5
x = - 5

Now substitute -5 in for x in the second equation
y = -2x + 1
y = -2(-5) + 1
y = 10 + 1
y = 11

check....
5x + 3y = 8
5(-5) + 3(11) = 8
-25 + 33 = 8
8 = 8 (correct)

ANSWER : Solving through the substitution method : x = -5 and y = 11

Answer 2

thank you

Answer 3

ur welcome