solve by using elimination method :2x+3y =11 and 2x-3y =+24
Answers
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Answer:
x = 8.75
y = -2.17
Step-by-step explanation:
2x + 3y =11
2x - 3y = 24 [ELIMINATION METHOD] first, choose the variable you want to
eliminate.(either X or Y, I chose "Y")
secondly, make sure that the co-efficient of variable chosen are equal.
Lastly, before elimination, one must be negative and one must be positive.These are the rules guiding elimination method in simultaneous equation.
Solution: 2x + 3y =11
2x - 3y = 24 (applying rule 3)
4x = 35 ( because +3-3= 0)
Divide both sides by 4
= 4x/4 = 35/4
∴x = 8.75
To find "Y"
= substitute to any of the equation, I chose equation 1
2x + 3y =11
2[8.75] + 3y = 11
17.5+ 3y = 11 (collect like terms)
3y = 11 - 17.5
3y = -6.5
Divide both sides by 3
Y = -2.17
∴x = 8.75
y = -2.17