The solution of the system of equations is (10 , 10)
Step-by-step explanation:
To solve the system of equations by combining
- Put one of the two variables of the first equation in the left hand side and the other terms of the equation on the right hand side
- Put the same variable in the second equation in the left hand side and the other terms of the equations on the right hand side
- Eliminate the equal sides of the equation and combine the other two sides by equate them
∵ -3 x + 3 y = 0 ⇒ (1)
∵ -2 x + 3 y = 10 ⇒ (2)
In equation (1) add 3 x to both sides
∴ 3 y = 0 + 3 x
∴ 3 y = 3 x ⇒ (3)
In equation (2) add 2 x to both sides
∴ 3 y = 10 + 2x ⇒ (4)
∵ The left hand sides of the equations (3) and (4) are equal
∴ Equate their right hand sides
∴ 3 x = 10 + 2 x
- subtract 2 x from both sides
∴ 3 x - 2 x = 10 + 2 x - 2 x
∴ x = 10
Substitute the value of x in equation (3) to find the value of y
∵ 3 y = 3 x
∵ x = 10
∴ 3 y = 3(10)
∴ 3 y = 30
- Divide both sides by 3
∴ y = 10
The solution of the system of equations is (10 , 10)
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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