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What is the solution for the following system of equations?
2x + y = 7
x - 2y = 6

What is the solution for the following system of equations? 2x + y = 7 x - 2y = 6-example-1

1 Answer

7 votes

I got you bro!

Answer:

{x,y} = {4-1}

You might be wondering how I got this, well here are the steps:

System of Linear Equations entered :

[1] 2x + y = 7

[2] x - 2y = 6

Graphic Representation of the Equations :

y + 2x = 7 -2y + x = 6

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = 2y + 6

// Plug this in for variable x in equation [1]

[1] 2•(2y+6) + y = 7

[1] 5y = -5

// Solve equation [1] for the variable y

[1] 5y = - 5

[1] y = - 1

// By now we know this much :

x = 2y+6

y = -1

// Use the y value to solve for x

x = 2(-1)+6 = 4

Solution :

{x,y} = {4,-1}

I hope this has helped you and have a wonderful day!

User Minem
by
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