Answer:
x=3.9 or 39/10 and y=3.13333 or 47/15
Step-by-step explanation:
Since both expressions (6x-3y) and (3-2x+6y) are equal to 14, separate the equations:
6x-3y=14 and 3-2x+6y=14
Simplify the equations
6x-3y=14 and -2x+6y=11
Now, line the equations up and pick a variable (either x or y) to eliminate
6x-3y=14
-2x+6y=11
In this case, let's eliminate y first. To do so make the y values in both equations the same but with opposite signs. Make both be 6y but one is +6y and the other -6y
Multiply (6x-3y=14) by 2 to get:
12x-6y=28
Line the equations up and add or subtract the terms accordingly
12x-6y=28
-2x+6y=11
This becomes:
10x+0y=39
Isolate for x
x= 39/10 or x= 3.9
Now substitute the x value into either of the original equations
6x-3y=14
6(3.9)- 3y=14
Isolate for y
23.4-14=3y
3y= 9.4
y= 3.1333 (repeating) or y= 47/15
<u>Answer</u>:
Length will be 46 ft and width will be 16 ft
<u>Explanation</u>:
Let the width be x.
then the length will be 3x - 2
using the rectangle perimeter formula:
2( length + width )
2(x + 3x-2) = 124
2(4x-2) = 124
8x - 4 = 124
8x = 128
x = 16 ft
Width will be 16 ft and
Length: 3x - 2
: 3(16)-2
: 46 ft
Answer:
8 over 35 or Decimal Form: 0.228571
Step-by-step explanation:
Answer:
y = -3
Step-by-step explanation:
First, subtract 2y from both sides, (3y - 2y) and that should give you the equation, -3 = y. And that's your final answer.
