Question

Solve. { 4x+y=5 3x+y=3 Use the linear combination method. (0, −3) (2, −3) (−3, 7) (0, 5)

Answer 1

The solution of the system of the equation is (2 , -3) ⇒ 2nd answer

Step-by-step explanation:

The steps of the linear combination method are:

1. Make the coefficients of one variable in the two equations same in values and different in signs
2. Add the two equations to eliminate that variable and make one equation of the other variable
3. Solve the equation to find the other variable
4. Substitute its value in any one of the two equations to find the variable that eliminate before

∵ The system of equation is:

4x + y = 5 ⇒ (1)

3x + y = 3 ⇒ (2)

Multiply equation (2) by -1 to make y equal in values and different in signs

∵ -3x - y = - 3 ⇒ (3)

- Add equations (1) and (3) to eliminate y

∴ x = 2

- Substitute the value of x in equation (1) or to to find the value of y

∵ 4(2) + y = 5

∴ 8 + y = 5

- Subtract 8 from both sides

∴ y = -3

∴ The solution of the system of equations is (2 , -3)

The solution of the system of the equation is (2 , -3)

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

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