Answer:
Step-by-step explanation:
The given system of equations is expressed as
3x + y = 9 - - - - - - - - - - - - - - -1
3x = 9 - y - - - - - - - - - - - - - -2
To apply the method of elimination, we would rearrange equation 2 so that it would take the form of equation 1. Therefore, we would add y to the left hand side and the right hand side of the equation, it becomes
3x + y = 9 - - - - - - - - - - - - - - - - -3
Subtracting equation 3 from equation 1, it becomes
0 = 0
The equations have infinitely many solutions because if we input any values of x and y that satisfies the first equation, those values will also satisfy the second equation.
Answer:
an = 6 +5(n-1)
an = 1 +5n
Step-by-step explanation:
The equation for an arithmetic term is
an =a1 +d(n-1)
where a1 is the 1st term and d is the common difference
an = 6 +5(n-1)
We can distribute the 5
an = 6+5n-5
an = 1 +5n
Let's solve for y.
<span><span>11−<span><span>12</span>y</span></span>=<span>3+<span>6x
</span></span></span>Step 1: Add -11 to both sides.
<span><span><span><span><span><span>−1/2</span></span>y</span>+11</span>+<span>−11</span></span>=<span><span><span>6x</span>+3</span>+<span>−11
</span></span></span><span><span><span><span>−1</span>2</span>y</span>=<span><span>6x</span>−8
</span></span>Step 2: Divide both sides by (-1)/2.
<span><span><span><span><span>−1/</span>2</span>y</span><span><span>−1/</span>2</span></span>=<span><span><span>6x</span>−8/-1/2
</span></span></span><span>y=<span><span>−<span>12x</span></span>+16</span></span><span>
</span>
Answer:
see explanation
Step-by-step explanation:
The sum of the areas of the 2 rooms is
(1 
)² + 6² ← change the mixed number to an improper fraction
= (
)² + 6²
= 
+ 36
= 1 
+ 36
= 37
Answer:
{x | x R, x > -5}
Step-by-step explanation:
Given:
Add 5 both sides, we get
Therefore, the solution is 
where, x is a real number.
So, {x | x R, x > -5} is the correct answer.
