Solve Linearequationswithtwounknowns 4x-3y=5 - Tiger Algebra

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Other Ways to Solve

Linear equations with two unknowns

Step by Step Solution

System of Linear Equations entered :

[1] 4x - 3y = 5 [2] x + 2y = 4

Graphic Representation of the Equations :

-3y + 4x = 5 2y + x = 4

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -2y + 4

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

[1] 4•(-2y+4) - 3y = 5 [1] - 11y = -11

// Solve equation [1] for the variable y

[1] 11y = 11 [1] y = 1

// By now we know this much :

x = -2y+4 y = 1

// Use the y value to solve for x

x = -2(1)+4 = 2

Solution :

{x,y} = {2,1}

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Terms and topics

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

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