-3/2 is the factor would multiply the second equation to eliminate y.
The correct option is (C).
<h3>What is factor?</h3>
A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.
Given equation is :
9x+3/4 y =6
2x+1/2 y =9
If we have to eliminate the y variable so we have to multiply it by factor -3/2
Then the second equation become
-3/2(2x+1/2 y =9)
-3x- 3/4 y =- 27/2
As we can see the y variable of both the equation is same.
Hence, -3/2 is the factor would multiply the second equation to eliminate y.
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To solve this problem we first call x = number of action figures, y = number of dolles. A system of two equations with two unknowns must be made to describe the problem. The system is the following:
(x + 1) + y = 13
1/2 * x = y.
Then solving the system we have that x = 8 and y = 4.
Since we know that the number of action figures is twice as many dolls plus one, then x = 8 + 1 = 9.
Thus,
dollos = 4
action figures = 9
The answer to the question is c
The answers or your problem is x=6
