Answer: there are no solutions
Step by step: Step 1: Simplify both sides of the equation.
3
(
x
−
1
)
=
5
x
+
3
−
2
x
(
3
)
(
x
)
+
(
3
)
(
−
1
)
=
5
x
+
3
+
−
2
x
(Distribute)
3
x
+
−
3
=
5
x
+
3
+
−
2
x
3
x
−
3
=
(
5
x
+
−
2
x
)
+
(
3
)
(Combine Like Terms)
3
x
−
3
=
3
x
+
3
3
x
−
3
=
3
x
+
3
Step 2: Subtract 3x from both sides.
3
x
−
3
−
3
x
=
3
x
+
3
−
3
x
−
3
=
3
Step 3: Add 3 to both sides.
−
3
+
3
=
3
+
3
0
=
6
Answer:
6+12y
Step-by-step explanation:
first, distribute the 2 to the parenthesis:
-multiply the 2 to the 3 and 6y
We get 6+12y
hope this helps :)
Answer:
k = -1/240
Step-by-step explanation:
to evaluate the value of k in the expression 1/3k+80=1/2k+120
we have
1/3k+80=1/2k+120
collect the like terms for easy evaluation
1/3k - 1/2k = 120 -80
1/3k - 1/2k = 40
find the lcm
2 - 3/6k = 40
-1/ 6k = 40
cross multiply
6k x 40 = -1
240k = -1
divide both sides by 240
240k/240 = -1/ 240
k = -1/240
therefore the value of k in the expression 1/3k+80=1/2k+120 is equals to -1/240
Answer:
The answer to your question is 10 dm
Step-by-step explanation:
Data
length of a rectangle = x + 4
height of a rectangle = x - 6
Area of the rectangle = 56 dm²
length of the square = x
Process
1.- Find x with the information given for the rectangle
Area = length x height
Substitution
56 = (x + 4)(x - 6)
Expand
56 = x² - 2x - 24
Equal to zero
x² - 2x - 24 - 56 = 0
Simplify
x² - 2x - 80 = 0
Factor
(x - 10)(x + 8) = 0
Equal to zero
x₁ -10 = 0 x₂ + 8 = 0
x₁ = 10 x₂ = -8
2.- Conclusion
The length of the square is 10 dm because there are no negative lengths.
