solve using the elimination method.show your work. if the system has no solution or infintite number of solutions, state this 4x-6y=30, 3x-5y=24

Answer 1

4x-6y=30
3x-5y=24

(4x-6y=30) Multiply with 3

12x-18y=90

(3x-5y=24) Multiply with 4

12x-20y=96

Now you have System:

12x-18y=90
12x-20y=96

Subtracting 12x-18y=90 from 12x-20y=96 gives:

12x-12x-18y-(-20y)=90-96
0-18y+20y= -6
2y= -6 Divide with 2

y= -3

4x-6y=30
4x-6*(-3)=30
4x+18=30
4x=30-18
4x=12 Divide with 4

x=3

OR

3x-5y=24
3x-5*(-3)=24
3x+15=24
3x=24-15
3x=9 Divide with 3

x=3

Solution is: x=3 y= -3