The solution of the system of equations is (-3 , -2)
Step-by-step explanation:
Let us revise the steps of Linear combinations method
- Arrange the equations with like terms in columns
- make the coefficients of x or y equal in magnitudes and different in signs
- Add the equations and solve for the remaining variable
- Substitute the value of the variable into one of the two equations to find the second variable
The system of equations is
3 x - 8 y = 7 ⇒ (1)
x + 2 y = -7 ⇒ (2)
Let us make the coefficients of y equal in magnitude by multiplying
equation (2) by 4
∴ 4 x + 8 y = -28 ⇒ (3)
- Add equations (1) and (3) to solve for x
∴ 7 x = -21
- Divide both sides by 7
∴ x = -3
Substitute the value of x in equation (1) to find y
∵ 3(-3) - 8 y = 7
∴ -9 - 8 y = 7
- Add 9 to both sides
∴ -8 y = 16
- Divide both sides by -8
∴ y = -2
The solution of the system of equations is (-3 , -2)
Learn more:
You can learn more about the system of the linear equations in brainly.com/question/2115716
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