3x+4(2-y)=5x 2-y=6x Consider the given system of equations. If (x,y) is the solution to the system, then what is the value of (x)/(y) ?

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3x+4(2-y)=5x  2-y=6x Consider the given system of equations. If  (x,y) is the solution to the system, then what is the value of  (x)/(y) ?

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Solve for y: Solve the first equation for y. We have the equation 3x + 4(2 - y) = 5x. First, distribute the 4 into the parentheses: 3x + 8 - 4y = 5x. Now, isolate the y term by moving the other terms to the other side: -4y = 5x - 3x - 8. Simplify the right side: -4y = 2x - 8. Divide both sides by -4 to solve for y: y = (2x - 8) / -4. Simplify the right side: y = -0.5x + 2.Substitute y into the second equation: Substitute the expression for y into the second equation. We have the second equation 2 - y = 6x. Substitute y with the expression found in Step 1: 2 - (-0.5x + 2) = 6x. Simplify the equation: 2 + 0.5x - 2 = 6x. The 2's on the left side cancel out, leaving us with: 0.5x = 6x.Solve for x: Solve for x. We have the equation 0.5x = 6x. Subtract 0.5x from both sides to get all x terms on one side: 0.5x - 0.5x = 6x - 0.5x. This simplifies to 0 = 5.5x. Divide both sides by 5.5 to solve for x: 0 / 5.5 = x. This gives us x = 0.Substitute x into the expression for y: Substitute x = 0 into the expression for y. We have y = -0.5x + 2. Substitute x with 0: y = -0.5(0) + 2. Simplify the equation: y = 0 + 2. This gives us y = 2.Calculate (x)/(y): Calculate the value of (x)/(y). We have x = 0 and y = 2. Substitute these values into the expression: (x)/(y) = 0 / 2. Simplify the expression: (x)/(y) = 0.

$3 x+4(2-y)=5 x$ $\newline$ $2-y=6 x$ $\newline$ Consider the given system of equations. If $(x, y)$ is the solution to the system, then what is the value of $\frac{x}{y}$ ?

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3x+4(2−y)=5x 3 x+4(2-y)=5 x 3x+4(2−y)=5x\newline2−y=6x 2-y=6 x 2−y=6x\newlineConsider the given system of equations. If (x,y) (x, y) (x,y) is the solution to the system, then what is the value of xy \frac{x}{y} yx​ ?

$3 x+4(2-y)=5 x$ $\newline$ $2-y=6 x$ $\newline$ Consider the given system of equations. If $(x, y)$ is the solution to the system, then what is the value of $\frac{x}{y}$ ?