The solution of the system of equations is (4 , [tex]-\frac{6}{7}[/tex] )
Step-by-step explanation:
The steps of the elimination method:
- Make the coefficients of one of the two variables in the two equations have same value and different signs
- Add the two equations to eliminate this variable
- Solve the resulting equation to find the other variable
- 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 = [tex]-\frac{6}{7}[/tex]
The solution of the system of equations is (4 , [tex]-\frac{6}{7}[/tex] )
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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