A number is multiplied by -3 and then this product is decreased by 7. The result is 4 less than twice the opposite of the number. what is the number?
The answer to this question is -3. The equations work out to be -3n-7=-2n-4, and then you can just work it out for yourself.
what is the form y=mx +b for C = {(x, y): (6, 15), (8, 21), (10, 27)
But now, both sides of the equation are different number set equal to each other if you plug -3/5 in for x. That just don’t work.
To solve this problem, let's break it down step by step:
1. Let's assume the number we're looking for is represented by "x".
2. The first step is to multiply the number by -3. This can be expressed as -3 * x, which is -3x.
3. Then, we need to decrease this product by 7, which gives us -3x - 7.
4. The result is said to be 4 less than twice the opposite of the number. The opposite of "x" is "-x", and twice the opposite is 2 * (-x), which is -2x.
5. From the statement, we know that -3x - 7 is 4 less than -2x. We can express this as -2x - 4 = -3x - 7.
Now, let's solve for "x":
-2x - 4 = -3x - 7
To eliminate the x-term on the right side, we can add 3x to both sides:
-2x + 3x - 4 = -3x + 3x - 7
This simplifies to:
x - 4 = -7
Next, to isolate the "x" term, we can add 4 to both sides:
x - 4 + 4 = -7 + 4
Simplifying further, we have:
x = -3
Thus, the number we're looking for is -3.