Respuesta :

Ashraf82

The solution of the system of equations is (-1 , -1)

Step-by-step explanation:

To solve the system of linear equations by substitution method

  • Use one of the two equation to find one variable in terms of the other terms
  • Substitute this variable in the second equation to find an equation of one variable
  • Solve the equation to find the this variable
  • Find the first variable using the substitution equation

∵ x + y = -2 ⇒ (1)

∵ y = 4x + 3 ⇒ (2)

- Substitute y in equation (1) by equation (2)

∴ x + (4x + 3) = -2

- Add like terms

∴ (x + 4x) + 3 = -2

∴ 5x + 3 = -2

- Subtract 3 from both sides

∴ 5x = -5

- Divide both sides by 5

∴ x = -1

- Substitute the value of x by -1 in equation (20 to find y

∴ y = 4(-1) + 3

∴ y = -4 + 3

∴ y = -1

The solution of the system of equations is (-1 , -1)

Learn more:

You can learn more about system of linear equations in brainly.com/question/6075514

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