Answer:
x=1 and y=4
Explanation:
Let's solve your system by substitution.
3x−6y=−21;6x−9y=−30
Step: Solve3x−6y=−21for x:
3x−6y=−21
3x−6y+6y=−21+6y(Add 6y to both sides)
3x=6y−21
x=2y−7
Substitute2y−7for x in6x−9y=−30:
6x−9y=−30
6(2y−7)−9y=−30
3y−42=−30(Simplify both sides of the equation)
3y−42+42=−30+42(Add 42 to both sides)
3y=12
y= 4
Substitute4foryinx=2y−7:
x=2y−7
x=(2)(4)−7
x=1(Simplify both sides of the equation)