Final answer:
After analyzing the equations given in Q1.4, Q1.5, and Q1.6, it is determined that none of the pairs of equations provided are equivalent because they do not have the same slope and intercept once they are simplified and compared.
Step-by-step explanation:
The questions posed relate to determining whether given pairs of equations are equivalent, which is a fundamental concept in linear equations and algebra. To determine equivalence, we need to rearrange the equations into a similar form and compare their components.
Q1.4 Evaluation
Starting with the equation 4y = 3x + 8, we can divide both sides by 4 to isolate y, which gives us y = (3/4)x + 2. Since the equation y = (3/4)x + 2 is not the same as y = 2x + 2 (different slope and intercept), the answer to Q1.4 is: b. No
Q1.5 Evaluation
For the equation 4x + 2y = 10, solving for y gives us 2y = 10 - 4x and then y = 5 - 2x. Since y = 5 - 2x is not the same as y = 2x + 5 (again different slope and intercept), the answer to Q1.5 is: b. No
Q1.6 Evaluation
Examining the equation 4x - 8 = 10x, and rearranging, we get -6x = 8 which implies any valid x value would not satisfy 10x being equivalent to the given equation. Therefore, the answer to Q1.6 is: b. No