-10/3k = -7/12
i'm stuck with the negative signs, Can someone explain to me how to do this step by step and teach me what to do with the negative sign! Please and thank you!
Treat the negative sign as a factor, namely (-1).
So
-10/3k = -7/12
is the same as
(-1)(10)/(3k) = (-1)(7)/12
Since like factors on each side of the equal sign cancel out, so you are left with:
10/3k = 7/12
Cross multiply and solve for k.
-10/3k = -7/12
The easy way to get rid of negative signs is to multiply by -1; thus,
-1(-10/3k) = -1(-7/12)
10/3k = 7/12, then solve for k.
Another much faster way is to remember that you can change the sign on one side if you also change it on the other. The net would then be 10/3k = 7/12
To solve the equation -10/3k = -7/12, we need to isolate the variable k. Let's break it down step by step and address the negative signs.
Step 1: Start by cross-multiplying to eliminate the fractions. Multiply the numerator of the first fraction (-10) by the denominator of the second fraction (12), and multiply the denominator of the first fraction (3) by the numerator of the second fraction (-7). The equation becomes: (-10) * (12) = (3) * (-7).
Step 2: Calculate the products in both sides of the equation. (-10) * (12) = -120, and (3) * (-7) = -21. So the equation becomes -120 = -21k.
Step 3: We need to eliminate the negative sign from both sides of the equation. To do that, we can multiply both sides by -1. This will change the signs, making the equation 120 = 21k.
Step 4: Now we want to isolate the variable k. To do that, divide both sides of the equation by 21. This gives us k = 120/21.
Step 5: Finally, we can simplify the fraction 120/21. Both the numerator and denominator share a factor of 3, so we can divide them both by 3. The simplified form is k = 40/7.
Remember to always be careful with negative signs and perform the same operations on both sides of the equation to maintain equality.