8x-6y=14,12x-9y=18
Multiply each equation by the value that makes the coefficients of y equal. This value is found by dividing the least common multiple of the coefficients of y by the current coefficient. In this case, the least common multiple is 18.
3*(8x-6y=14)_2*(12x-9y=18)
Multiply each equation by the value that makes the coefficients of y equal. This value is found by dividing the least common multiple of the coefficients of y by the current coefficient. In this case, the least common multiple is 18.
3*(8x-6y)=3(14)_2*(12x-9y)=2(18)
Multiply 3 by each term inside the parentheses.
3*(8x-6y)=42_2*(12x-9y)=2(18)
Multiply 3 by each term inside the parentheses.
(24x-18y)=42_2*(12x-9y)=2(18)
Remove the parentheses around the expression 24x-18y.
24x-18y=42_2*(12x-9y)=2(18)
Multiply 2 by each term inside the parentheses.
24x-18y=42_2*(12x-9y)=36
Multiply 2 by each term inside the parentheses.
24x-18y=42_(24x-18y)=36
Remove the parentheses around the expression 24x-18y.
24x-18y=42_24x-18y=36
Multiply the first equation by -1 to make the coefficients of y have opposite signs.
-(24x-18y)=-(42)_24x-18y=36
Multiply -1 by the 42 inside the parentheses.
-(24x-18y)=-42_24x-18y=36
Multiply -1 by each term inside the parentheses.
(-24x+18y)=-42_24x-18y=36
Remove the parentheses around the expression -24x+18y.
-24x+18y=-42_24x-18y=36
Add the two equations together to eliminate y from the system.
24x-18y=36_<U>-24x+18y=-42<u>_ =- 6
Since 0$-6, there are no solutions.
No Solution
The system cannot be solved because it is inconsistent and has no intersection.
The system cannot be solved because it is inconsistent.