Answer:
Perimeter of the rectangle = 8 x +4
Length of the rectangle = 12 units.
Step-by-step explanation:
Let the width of the rectangle as 'x' units.
So, length of the rectangle is 2 more than 3 x.
We can set up expression for length as 3 x+2.
Now, perimeter is sum of all side lengths of the rectangle.
So, perimeter = x+x+3 x+2 +3 x+2
Combine like terms,
Perimeter = 8 x+4
Now, it is given perimeter is 36cm
So,
8 x+4=36
Subtract both sides 4
8 x=32
Divide both sides by 8
x=4
So, width of the rectangle =4
Length =3(4) +2=14
Answer:
Look at the equations:
y
=
−
9
x
−
21
and
y
=
5
x
+
7
Because both equations equal (y), they both equal the same.
If an equations says "
y
=
−
9
x
−
21
" , that means we can replace (y) with
−
9
x
−
21
.
Therefore when i take the equation:
y
=
5
x
+
7
, we can replace (y) to get:
−
9
x
−
21
=
5
x
+
7
Now isolate (x):
−
9
x
−
21
=
5
x
+
7
⇔
−
21
=
14
x
+
7
⇔
−
28
=
14
x
⇔
x
=
−
2
the answer is the last one
the answer to your question there would be 12
