what is the solution to the system of equations?\ny = 1.5x - 4\ny = -x\n(-1.6, 1.6)\n(-1.5, 1.5)\n(1.5…

Explanation:

Step1: Set the two equations equal

Since $y = 1.5x - 4$ and $y=-x$, we set $1.5x - 4=-x$.

Step2: Solve for x

Add $x$ to both sides: $1.5x+x - 4=-x+x$, which simplifies to $2.5x-4 = 0$. Then add 4 to both sides: $2.5x-4 + 4=0 + 4$, getting $2.5x=4$. Divide both sides by 2.5: $x=\frac{4}{2.5}=1.6$.

Step3: Solve for y

Substitute $x = 1.6$ into $y=-x$, so $y=-1.6$.

Answer:

D. $(1.6, -1.6)$