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

Provide the solution to the system.

5x – 3y = 4
3x – 5y = –4

Question

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

Provide the solution to the system.

5x – 3y = 4 
3x – 5y = –4

anonymous · Answer

will someone please help

anonymous · Answer

Alright. I'll show you the steps, but you're gonna have to interpret my steps and write sentences for it.
5x – 3y = 4 
3x – 5y = –4
Multiply the equations by something so that when adding them, a variable cancels out.
-3(5x – 3y = 4)
5(3x – 5y = –4)

-15x + 9y = -12
15x - 25y = -20
Add vertically.
0 - 16y = -32
THis is the identity property of zero.
-16y = -32
Divide by -16 to get y isolated.
y = 2
Plug this into the equation and solve for y to solve for x.
5x – 3y = 4 
5x – 3(2) = 4 
5x - 6 = 4
5x = 10
x = 2

Answers: x = 2, y = 2
Solution Set: (2, 2)