Question

please help!!

Part 1: Explain, in complete sentences, how you would use the elimination method to solve the following system of equations.

Part 2: Provide the solution to the system.

5x – 3y = 4
3x – 5y = –4

Answer 1

Part 1: Line up the equations vertically. Choose one variable to eliminate, say x. Multiply the second equation by the additive inverse of the coefficient of the x of the first equation, then divide the second equation by the coefficient of the x of the second equation. Take the result and add it to the first equation (vertically) and then solve for y. Back substitute for x.

Part 2:
5x – 3y = 4
3x – 5y = –4

5x – 3y = 4
-15x + 25y = 20

5x – 3y = 4
-5x + (25/3)y = 20/3

0x + (16/3)y = 32/3
16y = 32
y = 2

5x - 3(2) = 4
5x = 10
x = 2

Solution: (2,2)

Answer 2

thanks so much!