Given the following system of equations, find the value of y : {:[4y+14 x=10],[-2y-4x=4]:}

Question

Given the following system of equations, find the value of  y :  {:[4y+14 x=10],[-2y-4x=4]:}

Bytelearn · Accepted Answer

Write Equations: Write down the system of equations. We have the following system of equations: 4y + 14x = 10 -2y - 4x = 4Multiply Second Equation: Multiply the second equation by 2 to make the coefficient of y in both equations the same (but opposite in sign). Multiplying the second equation by 2 gives us: -4y - 8x = 8Add Equations: Add the modified second equation to the first equation to eliminate y. (4y + 14x) + (-4y - 8x) = 10 + 8 This simplifies to: 4y - 4y + 14x - 8x = 10 + 8 0y + 6x = 18 Since the y terms cancel out, we are left with an equation in x only.Correct Mistake: Realize that we made a mistake in the previous step. We should have added the equations directly without modifying the second equation. Let's correct this. Adding the original second equation to the first equation gives us: (4y + 14x) + (-2y - 4x) = 10 + 4 This simplifies to: 4y - 2y + 14x - 4x = 10 + 4 2y + 10x = 14

Given the following system of equations, find the value of $y$ : $\newline$ $\begin{array}{l} 4 y+14 x=10 \\ -2 y-4 x=4 \end{array}$

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Given the following system of equations, find the value of y y y :\newline4y+14x=10−2y−4x=4 \begin{array}{l} 4 y+14 x=10 \\ -2 y-4 x=4 \end{array} 4y+14x=10−2y−4x=4​

Given the following system of equations, find the value of $y$ : $\newline$ $\begin{array}{l} 4 y+14 x=10 \\ -2 y-4 x=4 \end{array}$