<span>solve the equation ax – c = bx + d for x:
1) Group the x terms together on the left: ax - bx - c = d
2) Group the constant terms together: ax - bx = c + d
3) factor out x: x(a - b) = c + d
4) Divide both sides of the equation by (a - b) to obtain a formula for x:
c+d
</span> x(a - b) = c + d => x = ---------
a-b
This shows that the given equation CAN be solved for x, but there is a restriction: a must NOT equal b, because if a-b = 0, we'd have division by zero (which is not defined).
Where is Victoria's solution? Please share it if you want to discuss this problem further. Thank you.
Answer:
Let 
Solution: 
Step-by-step explanation:
See attached for step-by-step
7 goes in to 30 four times i believe :)
We let x as the cost of one ounce of Sumatra and y as the cost of one ounce of Celebes Kalossi. For mixture 1, we have 12x + 4y = 32 and for mixture b, we have 4x + 12y = 40
First, Multiply eq. 1 by 4
4(12x + 4y = 32)4 ⇒ 36x + 12y = 96
We now have
(36x + 12y = 96) – (4x + 12y = 40)
<span>X = 1.75 ⇒ cost of one ounce of Sumatra
</span>
Substitute x to either equation to get the value of y
12(1.75) + 4y = 324
y = 32-21
4y = 11
Y = 2.75 ⇒ cost of one ounce of Celebes Kalossi
Factorize the numerator and denominator. You'll see that they both have a factor of 4 that can be canceled. The introduce a factor of 3 to change the denominator to 36.
