Question

Solve the system by the substitution method X = 7y + 18 What is the solution set of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your answer 11 13 (Type an ordered pair) B. There are infinitely many solutions OC There is no solution

Answer 1

The given system of equations is expressed as

x = 7y + 18

x = 2y + 7

By applying the substitution method, we would equate both equations. It becomes

7y + 18 = 2y + 7

7y - 2y = 7 - 18

5y = - 11

y = - 11/5

Substituting y = - 11/5 into the second equation, it becomes

x = 2 * - 11/5 + 7

x = - 22/5 + 7

x = 13/5

The solution is (13/5, - 11/5)