14) Which statement best describes the solutions of a two-variable equation?

A)
The ordered pairs must lie near the graphed equation.

B)
The ordered pairs must have x = 0 for one coordinate.

C)
The ordered pairs must lie on the graphed equation.

D)
The ordered pairs must have y = 0 for one coordinate.

PLEASE HELP!!

Solution of a System. In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.

A) The ordered pairs must lie near the graphed equation

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!