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:
- Make the coefficients of one variable in the two equations same in values and different in signs
- Add the two equations to eliminate that variable and make one equation of the other variable
- Solve the equation to find the other variable
- 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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