Question

-2x-9y=25 4x+9y=23 solve with elimination

Answer 1

x = 24 and y= −73/9

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=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