Answer:
x = 24 and y= −73/9
Step-by-step explanation:
Let's solve your system by elimination.
−2x−9y=25;4x+9y=23
------------------------
−2x−9y=25
4x+9y=23
Add these equations to eliminate y:
2x=48
Then solve2x=48for x:
2x=48
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:
−2x−9y=25
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
