Question

Peter ​says, "If you subtract 14 from my number and multiply the difference by ​-7 , the result is -91 ​." What is Peter​'s ​number?

Answer 1

To find Peter's number, we need to set up an equation using the information given and solve it step-by-step. The answer is 27.

Step-by-step explanation:

To find Peter's number, we need to set up an equation using the information given. According to Peter, if we subtract 14 from his number and multiply the difference by -7, the result is -91. We can express this as an equation: (-7)(x - 14) = -91, where x represents Peter's number.

To solve for x, we can begin by multiplying -7 with x and -7 with -14. This gives us: -7x + 98 = -91.

Next, we can isolate the term with x by subtracting 98 from both sides of the equation: -7x = -91 - 98 = -189.

Finally, we can solve for x by dividing both sides of the equation by -7: x = -189 ÷ -7 = 27.

Therefore, Peter's number is 27.

Answer 2

x = -77

Step-by-step explanation:

based on the given conditions

x - 14 = -91

x = -91 + 14 then calculate the difference between -91 - 14 = -77

thus x which is peters number = -77