Question

Solve the system: 14x - 8y = -4 and 7x + 3y = 26 *

Answer 1

Answer:

The solution is (2, 4)

Step-by-step explanation:

Note that if we multiply the second equation by -2, the first term of this revised equation will be -14x, which will cancel out the +14x in the first equation:

  14x - 8y = -4       =>       14x - 8y = -4

-2(7x + 3y = 26)    =>       -14x - 6y = -52

                                         ----------------------

                                                -14y = -56, or y = 4

Substituting 4 for y in the first equation, we get 14x - 8(4) = -4, or

                                                                               14x = 28   =>   x = 2

The solution is (2, 4)