Answer
True for all values of $x$ and $y$.
Work Step by Step
Equation 1: $3x - y = 4$
Equation 2: $4y = 12x - 16$
Using equation 1, subtract $3x$ from both sides:
$$3x-3x - y = 4-3x$$ $$ - y = 4-3x$$
Multiply this equation by $-1$:
$$[- y = 4-3x]\cdot-1$$ $$y = -4+3x$$
Substitute this equation to equation 2:
$$4(-4+3x) = 12x - 16$$ $$-16+12x = 12x - 16$$
Since both sides are equal, therefore the equation is true for all values of $x$ and $y$.
