Q:

20 POINTS!!! HELP ME!!!! Use the linear combination method to solve the system of equations. Explain each step of your solution. 3x-8y=7" " " " x+2y=-7

Accepted Solution

A:
The solution of the system of equations is (-3 , -2) Step-by-step explanation:Steps for Using Linear Combinations Method)Arrange the equations with like terms in columnsAnalyze the coefficients of x or yAdd the equations and solve for the remaining variableSubstitute the value into either equation and solve ∵ 3 x - 8 y = 7 ⇒ (1)∵ x + 2 y = -7 ⇒ (2)- Multiply equation (2) by 4 to make the coefficients of y are equal in  magnitude and different in sign∴ 4 x + 8 y = -28 ⇒ (3)Add equations (1) and (3) ∵ 3 x - 8 y = 7 ⇒ (1)∵ 4 x + 8 y = -28 ⇒ (3)∴ 7 x = -21- Divide both sides by 7∴ x = -3Substitute the value of x in equation (2) to find y∵ x + 2 y = -7 ⇒ (2)∵ x = -3∴ -3 + 2 y = -7- Add 3 to both sides∴ 2 y = -4- Divide both sides by 2∴ y = -2The 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/13168205#LearnwithBrainly