Solve Linearequationswithtwounknowns 2x-5y=4;5x-2y=4 Tiger ...

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Camera Icon Enter an equation or problemClear Camera Icon Solve Camera input is not recognized!Keyboardarrow leftarrow rightenterdelsquare 2square 10axy/|abs|( )789*fractionsqrt root456-root%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Linear equations with two unknownsFinal Result Steps Terms and topics x,y=4/7,-4/7 {x,y}={4/7,-4/7}

Other Ways to Solve

Linear equations with two unknowns

Step by Step Solution

System of Linear Equations entered :

[1] 2x - 5y = 4 [2] 5x - 2y = 4

Graphic Representation of the Equations :

-5y + 2x = 4 -2y + 5x = 4

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 5x = 2y + 4 [2] x = 2y/5 + 4/5

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

[1] 2•(2y/5+4/5) - 5y = 4 [1] - 21y/5 = 12/5 [1] - 21y = 12

// Solve equation [1] for the variable y

[1] 21y = - 12 [1] y = - 4/7

// By now we know this much :

x = 2y/5+4/5 y = -4/7

// Use the y value to solve for x

x = (2/5)(-4/7)+4/5 = 4/7

Solution :

{x,y} = {4/7,-4/7}

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Terms and topics

  • Linear equations with two unknowns
  • Solving linear equations by substitution

Related links

  • Substitution to solve linear equations | Math Planet
  • Solving linear equations using substitution | for Dummies

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