Do 4.25x4 and if it equals 17 he is correct, otherwise he is incorrect
The equation would be x=-2
x=31,y=−61
Put the equations in standard form and then use matrices to solve the system of equations.
5x+4y=1,3x−6y=2
Write the equations in matrix form.
(534−6)(xy)=(12)
Left multiply the equation by the inverse matrix of (534−6).
inverse((534−6))(534−6)(xy)=inverse((534−6))(12)
The product of a matrix and its inverse is the identity matrix.
(1001)(xy)=inverse((534−6))(12)
Multiply the matrices on the left hand side of the equal sign.
(xy)=inverse((534−6))(12)
For the 2×2 matrix (acbd), the inverse matrix is (ad−bcdad−bc−cad−bc−bad−bca), so the matrix equation can be rewritten as a matrix multiplication problem.
(xy)=(5(−6)−4×3−6−5(−6)−4×33−5(−6)−4×345(−6)−4×35)(12)
Do the arithmetic.
(xy)=(71141212−425)(12)
Multiply the matrices.
(xy)=(71+212×2141−425×2)
Do the arithmetic.
(xy)=(31−61)
Extract the matrix elements x and y.
x=31,y=−61
The correct answer is 959,780.
In order to find this, we need to first find all the first 8 terms of the series. Each term is the previous term multiplied by -6. This gives us the following terms.
-4
-4*-6 = 24
24*-6 = -144
-144*-6 = 864
864*-6 = -5,184
-5,184*-6 = 31,104
31,104*-6 = -186,624
-186,624*-6 = 1,119,744
Now we add all those together and get our answer.
-4 + 24 - 144 + 864 - 5,184 + 31,104 - 186,624 + 1,119,744 = 959,780
Equation of the line:
y = -4x + 1
