Question

Solve the system using elimination PLEASE SHOW ALL WORK

5x+4y=12
3x-3y=18

Answer 1

5x+4y=12Step 1: Add -4y to both sides.5x+4y+−4y=12+−4y5x=−4y+12Step 2: Divide both sides by 5.5x5=−4y+125x=−45y+125Answer:x=−45y+125
question 2:
3x−3y=18Step 1: Add 3y to both sides.3x−3y+3y=18+3y3x=3y+18Step 2: Divide both sides by 3.3x3=3y+183x=y+6Answer:x=y+6

Answer 2

5x + 4y = 12....multiply by 3
3x - 3y = 18 ...multiply by -5
----------------
15x + 12y = 36 (result of multiplying by 3)
-15x + 15y = - 90 (result of multiplying by -5)
----------------------add
27y = - 54
y = -54/27
y = -2

5x + 4y = 12
5x + 4(-2) = 12
5x - 8 = 12
5x = 12 + 8
5x = 20
x = 20/5
x = 4

solution is : (4,-2) <=