Answer:
x = 24 and y= −73/9
Step-by-step explanation:
Let's solve your system by elimination.
−2x−9y=25;4x+9y=23
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−2x−9y=25
4x+9y=23
Add these equations to eliminate y:
2x=48
Then solve2x=48for x:
2x/2 = 48/2
(Divide both sides by 2)
x=24
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
Substitute24forxin−2x−9y=25:
(−2)(24)−9y=25
−9y−48=25(Simplify both sides of the equation)
−9y−48+48=25+48(Add 48 to both sides)
−9y=73
−9y/−9 = 73/−9
(Divide both sides by -9)
y= −73/9
x= 6/5y+6/5
x= 2/3y+6
3x-18=2y
Step 1: Add 18 to both sides.
3x−18+18=2y+18
3x=2y+18
Step 2: Divide both sides by 3.
3x/3= 2y+18/3
#2
5x−6y=6
Step 1: Add 6y to both sides.
5x−6y+6y=6+6y
5x=6y+6
Step 2: Divide both sides by 5.
5x/5= 6y+6/5
Here's how you do it!
12+12+x+6+x+6=64
36+2x=64
2x=28
x=14
The length is 14 feet!
