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X – y = 5
3x – 2y = 12
Please help will give 20 points

1 Answer

9 votes

Answer:


{x,y} = {2,-3}

Explanation:


x - y = 5 \\\\[2] 3x - 2y = 12 <----------- Linear equations given

Graphic Representation of the Equations: PICTURE


y + x = 5 \\-2y + 3x = 12
Solve by Substitution :

// Solve equation [1] for the variable
x


[1] x = y + 5

// Plug this in for variable
x in equation
[2]


[2] 3*(y +5) - 2y = 12 \\ [2] y = -3

// Solve equation
[2] for the variable
y


[2] y = - 3

// By now we know this much :


x = y+5 \\ y = -3

// Use the y value to solve for
x


x = (-3)+5 = 2

Solution :


{x,y} = {2,-3}

X – y = 5 3x – 2y = 12 Please help will give 20 points-example-1
User Borealid
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