Question

Explain the advantages of using substitution to solve the system of equations instead of elimination.
xequals6plusy
48equals2xplus2y
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Part 1
Choose the correct answer below.
A.
The second equation is already solved for​ x, so 48minus2y can be substituted for x in the first equation and then y can be solved for.
B.
The first equation is already solved for​ x, so x can be substituted for 6plusy in the second equation and then y can be solved for.
C.
The first equation is already solved for​ x, so 6plusy can be substituted for x in the second equation and then y can be solved for.
D.
The second equation is already solved for​ y, so 24minusx can be substituted for y in the first equation and then y can be solved for.

Answer 1

C.

The first equation is already solved for x (x = 6 + y), so substitute 6 + y for x in the second equation: 48 = 2(6 + y) + 2y, then solve for y. (That gives y = 9 and x = 15.)