Step 1:
Line up respective variables in column.
.................(1)
.................................(2)
Step 2:
We need to multiply first equation with -2 so that the coefficient of b becomes equal and opposite of -8.
*2
...................(3)
Step 3:
Add equation (2) and (3)
The b terms will cancel out and we are left with only a terms.
-11a = 22
dividing both sides by -11
a=-2
Step 4:
plug this value of a in equation (1) to find value of b,
b=-9
Answer : a=-2 and b =-9
Answer:
Dimension of gymnasium= 9 units and (3x+2) units.
Step-by-step explanation:
We have been given the area of a gymnasium is square units. We are asked to find possible dimensions of gymnasium by factoring our given expression for area of gymnasium.
Let us factor our greatest common factor of our given expression. We can see that 9 is the GCF of our given expression.
Upon factoring out 9 from our given expression we will get,
Therefore, the possible dimensions of the gymnasium will be 9 units and (3x+2) units as we will get the same area for gymnasium by multiplying these both dimensions.