Question

20 Point Offer.5x + 7y = 142x - 7y = 14Elimination Method.

Answer 1

The solution of the system of equations is (4 , $-\frac{6}{7}$ )

Step-by-step explanation:

The steps of the elimination method:

1. Make the coefficients of one of the two variables in the two equations have same value and different signs
2. Add the two equations to eliminate this variable
3. Solve the resulting equation to find the other variable
4. Substitute the value of the other variable in one of the two equations to find the variable that eliminated

∵ 5x + 7y = 14 ⇒ (1)

∵ 2x - 7y = 14 ⇒ (2)

- The coefficients of y in the two equations have the same

   value and different signs, then add the two equations

    to eliminate y

- Add equations (1) and (2)

∴ 7x = 28

- Divide both sides by 7

∴ x = 4

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

∵ 5(4) + 7y = 14

∴ 20 + 7y = 14

- Subtract 20 from both sides

∴ 7y = -6

- Divide both sides by 7

∴ y = $-\frac{6}{7}$

The solution of the system of equations is (4 , $-\frac{6}{7}$ )

Learn more:

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

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