Answer: The width is 14m
Step-by-step explanation: The question has provided the perimeter as 60. The available clues are such that the length measures 2m more than it's width. This means whatever is the width of the rectangle, the length shall be equal to plus 2. Hence, if the width is W, the length is W + 2.
So we have,
Perimeter = 60
Length = W + 2 and
Width = W
Already the perimeter is given as
Perimeter = 2(L + W)
We can now express the perimeter as follows;
60 = 2(W + 2 + W)
60 = 2(2 + 2W)
By cross multiplication we now have
60/2 = 2 + 2W
30 = 2 + 2W
Subtract 2 from both sides of the equation
28 = 2W
Divide both sides of the equation by 2
14 = W.
Remember that the length is given as W + 2, so the length becomes
14 + 2 = 16
Therefore, the width equals 14 m.
In most cases, you can do the inverse (opposite) operation on both sides of an equation to cancel out a certain value.
For example:
2x + 3y = 20
-2x + y = 4
This is a system of equations, just combine them to give you:
4y = 24
and divide both sides by 4:
y = 6
Sorry if this isn't what you were asking for, but the question was so vague, and this is what I assumed you were asking about, hopefully this helps regardless.
Answer:
(1, 5)
Step-by-step explanation:
Substitution works well here. Solving the second equation for x, we get x = y - 4. Substituting y - 4 for x in the first equation results in
-3(y - 4) + y = 2.
Next, we perform the indicated multiplication and obtain:
-3y + 12 + y = 2, or -2y = -10
Dividing both sides by -2 yields y = 5. As seen above, x = y - 4; if y = 5, then x = 5 - 4 = 1.
The solution is (1, 5)
