use a proportion to answer
(2x-5)/6=(4x+1)/2
(2x-5)/6 = (4x+1)/2
we must make the denominators same. to do this, we multiply the numerator & denominator of the term on the right by 3:
(2x-5)/6 = 3(4x+1)/6
then we equate the numerators:
2x - 5 = 12x + 3
2x - 12x = 5 + 3
-10x = 8
x = -4/5
A customer is buying a $100 drill and two $15 drill bit sets. The customer uses a gift card worth $50 to pay for a portion of their bill. How much cash will the customer pay (before taxes)?
A customer is buying a $100 drill and two $15 drill bits sets. The customers used gift card worth $50 to pay for a portion of their bill. How much cas will the customers pay (before taxes)?
To solve the proportion:
(2x-5)/6=(4x+1)/2
We can start by cross-multiplying. This means multiplying the numerator of the first fraction by the denominator of the second fraction, and vice versa.
(2x-5) * 2 = 6 * (4x+1)
Now we can simplify both sides:
4x - 10 = 12x + 6
Next, let's group the x terms on one side of the equation and the constant terms on the other side:
12x - 4x = -6 - 10
Simplifying further:
8x = -16
Now, divide both sides of the equation by 8 to solve for x:
x = -16/8
Finally, simplify the expression:
x = -2
Therefore, the value of x that satisfies the proportion is -2.