The solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change, slope or gradient
<h3>How to determine the solution to the system?</h3>
A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
2x- y = 3
y - x = 1
Make y the subject in the second equation, by adding x to both sides of the equation
y - x + x = x + 1
This gives
y = x + 1
Substitute y = x + 1 in 2x- y = 3
2x- x - 1 = 3
Evaluate the like terms
x = 4
Substitute x = 4 in y = x + 1
y = 4 + 1
Evaluate
y = 5
Hence, the solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5
Read more about system of linear equations at
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First we look for the area of the triangle which is given by:
A = (1/2) * (4) * (6)
A = 12 feet ^ 2
Area of the rectangles:
Rectangle 1:
R1 = (4) * (8)
R1 = 32 feet ^ 2
Rectangle 2:
R2 = (6) * (8)
R2 = 48 feet ^ 2
Rectangle 3:
R3 = (root (6 ^ 2 + 4 ^ 2)) * (8))
R3 = 57,68882041 feet ^ 2
The total area will be:
A = 2A + R1 + R2 + R3
Substituting values:
A = 2 * (12) + 32 + 48 + 57,68882041
A = 161.6888204 feet ^ 2
Answer:
The total area of the prism is:
A = 161.6888204 feet ^ 2
Answer:
1/9= 0,1111111
Step-by-step explanat1ion:
Step 1: <span>Set up the long division.
_______
4| 3 2 2 0
Step 2: </span><span>Calculate 32 ÷ 4, which is 8.
</span> __ 8____
4| 3 2 2 0
3 2
Step 3: Bring down 20, so that 20 is large enough to be divided by 4.
__ 8____
4| 3 2 2 0
3 2
_________
2 0
Step 4: Calculate<span> 20 ÷ 4, which is 5.
8 0 5
</span> ________
4| 3 2 2 0
3 2
________
2 0
2 0
____
Step 5: Therefore,<span> 3,220 ÷ 4 = 805.
The answer is 805
Done! :)</span>
Answer:
6m
Step-by-step explanation:
The ratio of the length and the breadth of rectangle=2:1
Let length be 2x, then breadth = x
Now,
Length(l)=12 m
or,2x=12m
or,x=6m
x=breadth=6m
