i am thinking of a number i multiply it by 8 and subtract 163 i would get the same answer if i multiply by 3 and subtract 13
call the number x and make two equations - one from each of the contitions - and put them equal to each other and solve for x
That is,
8x - 163 = 3x -13
Let's call the number you're thinking of "x." According to the information given, we can create two equations based on the problem.
Equation 1: 8x - 163 = x
Equation 2: 3x - 13 = x
To solve the problem, we need to find the value of "x" that satisfies both equations.
To solve Equation 1:
1. Subtract "x" from both sides of the equation: 8x - x - 163 = 0
2. Simplify: 7x - 163 = 0
3. Add 163 to both sides of the equation: 7x = 163
4. Divide both sides of the equation by 7: x = 163 / 7 ≈ 23.29
To solve Equation 2:
1. Subtract "x" from both sides of the equation: 3x - x - 13 = 0
2. Simplify: 2x - 13 = 0
3. Add 13 to both sides of the equation: 2x = 13
4. Divide both sides of the equation by 2: x = 13 / 2 = 6.5
Therefore, the value of "x" is approximately 23.29 or 6.5.