Question

Consider the systems of equations. x-4y=8 3x+y=12 Item at position 4 4 5 points Item at position 4 Which shows an equivalent system of equations? Which shows an equivalent system of equations? x-4y=8 9x+4y=-36 x-4y=8 9x+4y=36 x-4y=8 12x+4y=-48 x-4y=8 12x+4y=48 Item at position 5 5 5 points Item at position 5 What strategy did you use to find which system was equivalent? User Response Field

Answer 1

Equivalent equations are equations of the same value

The equivalent equations are: $\mathbf{x - 4y = 8}$ and $\mathbf{12x +4 y = 48}$

The equations are given as:

$\mathbf{x - 4y = 8}$

$\mathbf{3x + y = 12}$

Multiply the second equation by 2.

$\mathbf{4(3x + y = 12)}$

Open brackets

$\mathbf{12x +4 y = 48}$

This means that, the equivalent equations are: $\mathbf{x - 4y = 8}$ and $\mathbf{12x +4 y = 48}$

Hence, the correct option is (d)

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