Q:

Solve the system of equations -3x+3y=0−3x+3y=0 and -2x+3y=10−2x+3y=10 by combining the equations.

Accepted Solution

A:
The solution of the system of equations is (10 , 10)Step-by-step explanation:To solve the system of equations by combiningPut 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 sidePut the same variable in the second equation in the left hand side and the other terms of the equations on the right hand sideEliminate 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 = 10Substitute 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 = 10The 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#LearnwithBrainly