The solution of the system of equations is (-7 , 5)
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
∵ 2x + 3y = 1 ⇒ (1)
∵ y = -2x - 9
- Add 2x to both sides
∴ 2x + y = -9 ⇒ (2)
Multiply equation (2) by -1 to make the coefficients of x opposites
∴ -2x - y = 9 ⇒ (3)
Add equations (1) and (3) to eliminate x
∴ 2y = 10
Divide both sides by 2
∴ y = 5
Substitute the value of y in equation (1) or (2) to find x
∵ 2x + 5 = -9
- Subtract 5 from both sides
∴ 2x = -14
- Divide both sides by 2
∴ x = -7
The solution of the system of equations is (-7 , 5)
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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