By solving a system of equations, we will see that matrix X is:
<h3>
How to find matrix X?</h3>
X will be a matrix, let's define:
Replacing that in the given equation we will get a system of equations:
9*x₁₁ + 4*x₂₁ = -9
2*x₁₁ + 1*x₂₁ = -1
9*x₂₁ + 4*x₂₂ = -6
2*x₂₁ + 1*x₂₂ = -8
We just need to solve that system of equations.
Using the second one we can write:
2*x₁₁ + 1*x₂₁ = -1
x₂₁ = -1 - 2x₁₁
Now we can replace that in the first equation:
9*x₁₁ + 4*x₂₁ = -9
9*x₁₁ + 4*(-1 - 2x₁₁ ) = -9
9*x₁₁ - 8*x₁₁ - 4 = -9
x₁₁ = -9 + 4 = -5
Then:
x₂₁ = -1 - 2x₁₁ = -1 - 2*(-5) = -1 + 10 = 9
So we just found the first two values of the matrix, now let's find the other two.
Using the other two eqations:
9*x₂₁ + 4*x₂₂ = -6
2*x₂₁ + 1*x₂₂ = -8
We rewrite the second as:
x₂₂ = -8 - 2x₂₁
And replace that in the other one:
9*x₂₁ + 4*(-8 - 2x₂₁) = -6
x₂₁ - 32 = -6
x₂₁ = -6 + 32 = 26
Then:
x₂₂ = -8 - 2x₂₁ = -8 - 2*26 = -60
Then our matrix is:
Learn more about systems of equations:
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Answer:
The first account will give more interest after one year.
Step-by-step explanation:
Blanche has to invest $8000 in a saving account.
(i) One account gives a 5.1% annual interest compounded annually.
So, after one year she will get an interest of dollars
(ii) In another account gives 3.1% annual interest compounded quarterly.
So, the quarterly interest is %.
Hence, after one year she will get an interest of dollars (Approximate)
Therefore, the first account will give more interest after one year.
The dimensions would be: Length=36 and Width=32. I solved this by just using multiples of the numbers in the ratio. 9x4=36 and 8x4=32, so the ratio can still simplified to 9:8. P=2xL+2xW, so (2x36)+(2x32)=136.
L=36ft. and W=32ft.
Use the y value in equation one and substitute it in equation two.
y=4x-3
y=-x-13
4x-3=-x-13
solve for x
add x to both sides
5x-3=-13
add 3 to both sides
5x=-10
divide both sides by 5
x=-2
Use x=-2 to solve for y in either equation
y=4x-3
y=4(-2)-3
y=-8-3
y=-11
(x, y) = (-2, -11)
Top right is the answer
Hope this helps! :)
Answer: Your answer should be -5
Step-by-step explanation: