W= width
L= length= 2W-4
Perimeter= 70
FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W
FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22
CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70
ANSWER:
length= 22 inches
width= 13 inches
Hope this helps! :)
4x-3y=-2. (+3y both sides)
4x=-2+3y. (Add 2 both sides)
3y=4x+2. (Now divide everything by 3)
y=4/3x +2/3
Area of a parallelogram = b*h (base*height)
b= 12cm
h= 18cm
Therefore:
= 12*18 cm
Area of the parallelogram = <u><em>216cm</em></u>
Answer:
x=5, y=1
Step-by-step explanation:
Isolate x for 5x-3y=22
5x-3y=22
Add 3y to both sides
5x-3y+3y=22+3y
Simplify
5x=22+3y
Divide both sides by 5
5x/5=22/5+3y/5
Simplify
x=22+3y/5
Substitute x=22+3y/5
10*22+3y/5-4y=46
Simplify 10*22+3y/5-4y
10*22+3y/5=2(3y+22)
=2(3y+22)-4y
Expand 2(3y+22)
=6y+44-4y
Simplify 6y+44-4y
=2y+44
Isolate y for 2y+44=46
2y+44=46
Subtract 44 from both sides:
2y+44-44=46-44
Simplify
2y=2
Divide both sides by 2;
2y/2=2/2
Simplify;
y=1
For x=22+3*1/5 substitute y=1
y=22+3*1/5
22+3*1=25
=25/5
Divide the numbers;25/5=5
=5
x=5
The solutions to the system of equations are;
x=5, y=1
