Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minu
s 3) + 2 x = negative (x minus 5) + 4 Which number should she place in the box?
1 answer:
Answer:
Below
Step-by-step explanation:
Let y be the missing number inside the box. The equation is:
●y( x-3)+2x= -(x-5)+4
● y (x-3) +2x = -x+5+4
● y (x-3) +2x = -x+9
● y (x-3) +2x+x = 9
●y(x-3)+3x =9
● yx-3y+3x= 9
●yx-3y+3x-9=0
●y(x-3) +3(x-3) =0
● (x-3)(y+3) = 0
●x-3=0 or y+3=0
●x=3 or y = -3
●x=3 or -y = 3
Add them together
● x-y = 6
●x=6+y
● y =6-x
So the number we should put in the box is 6-x
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