Question

Which equation, when graphed with the given equation, will form a system that has infinitely many solutions? Oy--(2x+8) O y=-2(x-8) O y=-2(x-4) O y=-(-2x+8)

Answer 1

The equation is;

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Here, we want to select an equation which when graphed with the equation shown will give a a system with infinite solutions

For us to have a system with infinite solutions, the value on the left hand side of the equation for y must be equal to the value of y on the right hand side

What we simply mean that the equation that would be plotted will be the same as that already plotted

We have this as;

$y\text{ = -(2x+8)}$

This will make the two y equal and thus gives an equation with infinitely many solutions as the y value on both sides will be equal