Let x be the unknown number.
If a number divided by −42 is increased by −89, the result is −87.
8/-42-89=-87
n over-42 -89=-87
To solve this problem, we need to understand the given information and set up an equation.
Let x be the unknown number.
"a number divided by -42" can be written as x / -42.
"increased by -89" means adding -89 to the previous expression: x / -42 - 89.
The resulting expression is equal to -87, so we can set up the equation:
x / -42 - 89 = -87.
To solve for x, we need to isolate it on one side of the equation. First, we can add 89 to both sides to eliminate the -89:
x / -42 = -87 + 89.
Simplifying the right side: -87 + 89 = 2.
The equation now becomes: x / -42 = 2.
To get x by itself, we can multiply both sides of the equation by -42:
(x / -42) * -42 = 2 * -42.
The -42 on the left side cancels out, leaving us with:
x = -84.
So, the unknown number x is -84.