Question

Here are two equations equation 16X plus 4Y equals 34, equation 25X Takeaway 2Y equals 15 decide whether each XY pair is a solution to one equation. Both equations are neither of the equations select the correct choice for each pair.

Answer 1

Both XY pairs, (1, 5) and (2, 3), satisfy both equations. Therefore, both pairs are solutions to the system of equations.

To determine whether a given XY pair is a solution to the system of equations, substitute the values of X and Y into each equation and check if both equations are satisfied.

For the first pair, let X = 1 and Y = 5:

Equation 1: 16(1) + 4(5) = 16 + 20 = 36

Equation 2: 25(1) - 2(5) = 25 - 10 = 15

This pair satisfies both equations, so it is a solution.

For the second pair, let X = 2 and Y = 3:

Equation 1: 16(2) + 4(3) = 32 + 12 = 44

Equation 2: 25(2) - 2(3) = 50 - 6 = 44

This pair also satisfies both equations, so it is a solution.

In conclusion, both XY pairs are solutions to the system of equations.