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Ashraf82

The solution of the system of equations is (-3 , 3)

Step-by-step explanation:

The steps of the linear combination method to solve a system of equations are

  1. Make the coefficients of one variable in the two equations equal in value and different in signs
  2. Add the equations to eliminate that variable and make an equation of the other variable
  3. Solve this equation to find the other variable
  4. Substitute the value of the other variable in one of the two original equations to find the variable that eliminate before

The system of equation is:

-x + 5y = 18 ⇒ (1)

x + 4y = 9 ⇒ (2)

The coefficients of x in the two equations are equal in value and opposite in signs, so add the two equations to eliminate x

Add equations (1) and (2)

(-x + x) + (5y + 4y) = (18 + 9)

9y = 27

Divide both sides by 9

y = 3

Substitute the value of y in equation (2) to find x

x + 4(3) = 9

x + 12 = 9

Subtract 12 from both sides

x = -3

The solution of the system of equations is (-3 , 3)

Learn more:

You can learn more about the system of equations in brainly.com/question/3739260

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