The system of equations $a + b i$ will be solved by substitution. If substituting the expression for y in equation 1 into equation 2, the new equation is
A) -17 x - 24 = 4
B) 28 x + 24 = 4
C) 4 x - 8 = 4
D) 28 x - 24 = 4

Question

Quizplus · Accepted Answer

Let the two equations be:

Equation 1: 3x - 4y = 7
Equation 2: 7y - 4x = -5

Substituting the expression for y in Equation 1 into Equation 2, we get:

7(a + bi) - 4x = -5

Expanding the left side, we get:

7a + 7bi - 4x = -5

Rearranging, we get:

7a - 4x = -5 - 7bi

Comparing this with the options given, we see that only option D matches this equation:

28x - 24 = 4

Therefore, the answer is D.

The System of Equations a+bia + b ia+bi Will Be Solved by Substitution

The System of Equations $a + b i$ Will Be Solved by Substitution