The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5 then: (x+1)=-5+1=-4 This is not the solution.
x₂=(1+11)/2=6 then: (x+1)=6+1=7 This solution is right.
Answer: the numbers would be 6 and 7.
(1,5)
To find this, do the opposite of how you got to (4,5).
Move right 2 units instead of left.
Move left 5 units instead of right.
Now, your on the point (1,5).
To check this, do what they said. (Move left 2 units and right 5 units) If its correct you end up on (4,5)
Answer:
2 : 3
Step-by-step explanation:
You need to show the ratio using the smallest whole numbers possible.
Multiply both numbers by 3.
2/3 : 1
2/3 × 3 : 1 × 3
2 : 3
Mistake in Line 2 : Was in the determining the values for a ,b,c
Mistake in Line 4 : Not taking the square roots of both sides.
Step-by-step explanation:

First Mistake : Line 2

Second Mistake : Line 4

Correct Solution :


Actually the answer is
-3x + 5y = 15
2x + 3y = -10