Question 22.). Write the equation in Standard Form:
10y = 12x + 0.7
Identify: A, B, C
Standard Form for Linear Equation: Ax + By = C
10y = 12x + 0.7
The Standard Form of the solution is
Ax + By = C, Where, A ≥ 0
A and B, are Non- Zero numbers.
Therefore, Your answer, Letter Choice, (D), 120x - 100y = - 7, Where,
A = 120, B = - 100, and C = - 7
Question 24.). Described as, Inconsistent, Consistent, and Independent, Consistent, and Dependent, or None of These.
9x - 8y = 15, and 27x - 24y = 3
Solve:
9x - 8y = 15; 27x - 24y = 3
Steps: I will try to solve the system of equation:
9x - 8y = 15; 27x - 24y = 3
Step, Solve: 9x - 8y = 15 for x
9x - 8y + 8y = 15 + 8y
Add 8y to both sides:
9x = 8y + 15
9x/9 = 8y + 15/9 ( Divide both sides by 9):
x = 8/9y + 5/3
Step Substitute:
8/9y + 5/3 for X in 27x - 24y = 3
27x - 24y = 3
27 ( 8/9y + 5/3) - 24y = 3
45 = 3
Simplify Both sides of equation:
45 + - 45 = 3 + - 45 ( Add - 45, to both sides.):
0 = - 42
Therefore, No real Solutions, to both Equation.
Hence; 9x - 8y = 15; and 27x - 24 = 3, have No Real Solutions, and Therefore, They are, Answer Letter Choice, (B), Inconsistent.
Hope that helps!!! Sorry, I couldn't figure out Number (23.). : )
