$\begin{array}{l} 4 x - 2 y = 7 \\ 7 x + 2 y = 15 \end{array}$
For the solution $(x, y)$ to the system of equations shown above, what is the value of $\frac{x}{y}$ ?
A) $\frac{1}{2}$
B) $\frac{1}{4}$
C) 2
D) 4

Answer

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Answer

Final Answer: The value of $\frac{x}{y}$ is $4$ .

Steps

Step 1 ：The system of equations is given by: $\begin{array}{l} 4 x - 2 y = 7 \\ 7 x + 2 y = 15 \end{array}$

Step 2 ：We can solve this system by adding the two equations together, which will eliminate the $y$ variable and allow us to solve for $x$ .

Step 3 ：The solution to the system of equations is $x = 2$ and $y = \frac{1}{2}$ .

Step 4 ：We are asked to find the value of $\frac{x}{y}$ . Substituting the values of $x$ and $y$ we found, we get $\frac{x}{y} = \frac{2}{\frac{1}{2}} = 4$ .

Step 5 ：Final Answer: The value of $\frac{x}{y}$ is $4$ .

4x−2y=77x+2y=15For the solution (x,y) to the system of equations shown above, what is the value of xy ?A) 12B) 14C) 2D) 4

Answer

Popular Problems

$\begin{array}{l} 4 x - 2 y = 7 \\ 7 x + 2 y = 15 \end{array}$
For the solution $(x, y)$ to the system of equations shown above, what is the value of $\frac{x}{y}$ ?
A) $\frac{1}{2}$
B) $\frac{1}{4}$
C) 2
D) 4