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X - y = 2x + 4y = -3

2 Answers

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Equation: x - y = 2x + 4y = -3 x - y = -3 Equations 1st and 2 (x - y = -3) 2 equations 1 2x - 2y = -6 equation 1 -(2x + 4y = -3) equation 2 are obtained.

In the second equation, 2x - 2y = -6, 2x -4y = 3, 6y = 3, and 6y = -3/-6 = 1/2.

2x + 4y = -3 , 2x + 4×1/2 = -3

2x +2 = -3 , 2x = -3 -2 , 2x = -5 ,x = -5/2

The last solution is y = 1/2 and x = -5/2.

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User Aaronaught
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Step 1:

Write the two equations

x - y = 2 Equation 1

x + 4y = -3 Equation 2

Step 2:

From equation 1 , make x subject of the formula and substitute in equation 2.


\begin{gathered} \text{From 1} \\ \text{x - y = 2} \\ \text{x = 2 + y} \end{gathered}

Step 3:

Substitute x = 2 + y in equation 2


\begin{gathered} In\text{ equation 2} \\ x\text{ + 4y = -3} \\ 2\text{ + y + 4y = -3} \\ 5y\text{ = -3 - 2} \\ \text{5y = -5} \\ y\text{ = }(-5)/(5) \\ \text{y = -1} \end{gathered}

Step 4

Substitute y = -1 in x = 2 + y to find x

x = 2 - 1

x = 1

Final answer

x = 1 , y = -1

User Sandesh Kota
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