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11 votes
Find the value of a and b.
2x + 5y = 9
3x – 2y = 4
x= ?
y= ?

1 Answer

11 votes
2x + 5y = 9
3x - 2y = 4

1) Make the x equal the same (find common factor) which is 6
2) Time the whole equation by the factor for example 2x3= 6, times the top equation by 3. The bottom 3x2=6, times the bottom equation by 2:

6x+15y=27
6x-4y=8
(Cancel the x)

Left with: 19y =19 (15- -4y =19y) (27-8=19)
Therefore y = 1

Now substitute y=1 into the equation to find x

6x + 15(1)= 27
6x + 15 = 27
6x = 12
X = 2

Answers:
X=2, Y=1

Hope this helps!
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