Question 21

If $$3x + 4y - 11 = 18$$ and $$8x - 6y + 12 = 6$$, then what is the value of $$5x - 3y - 9$$?

Solution

we have:
3x+4y =29   (1)
8x-6y =-6        (2)
Multiplying (1) by 3 and (2) by 2 and adding we get
9x+12y+16x-12y =75
we get 25x=75
x=3
Now substituting x=3
we get y=5
Now 5x-3y-9 =15-15-9 =-9


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