Answer:
x = 10/3 , y = 25/3
Step-by-step explanation:
Let's solve your system by substitution.
5x−2y=0 ; 5x+10y=100
Step 1: Solve 5x−2y=0 for x:
5x−2y=0
5x−2y+2y=0+2y (Add 2y to both sides)
5x=2y
5x=2y
5x/5=2y/5 (Divide both sides by 5)
x=2y/5 (Simplify)
Step 2: Substitute 2y/5 for x in 5x+10y=100:
5x+10y=100
5 2/5y +10y=100
12y=100 (Simplify both sides of the equation)
12y/12=100/12 (Divide both sides by 12)
y=25/3
Step 3: Substitute 25/3 for y in x=2/5y
x=2/5y
x=2/5 * 25/3
x=10/3 (Simplify both sides of the equation)
At the end we have the following answers :
x = 10/3
y = 25/3
