Estimate the value of x given this equation 4x- 189 = 578

Question

200

150

160

100

Answer 1

To solve the equation $4x-189=578$, we can follow these steps:

1. Add 189 to both sides of the equation: $$4x-189+189=578+189$$ which simplifies to: $$4x=767$$

2. Now, divide both sides by 4: $$x=\frac{767}{4}$$ Calculating that gives: $$x=191.75$$

Since $191.75$ is not one of the options provided (200, 150, 160, 100), it appears this specific equation does not lead to a whole number from the provided choices.

Given the closest choice to $191.75$ is 200, it seems to be the best estimate based on the provided options.