Answer:
Solution of the given system of equations
x = 3 and y= 2
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given system of equations are
4x - y = 10 ...(i)
8x +5y = 34...(ii)
The matrix form
A X = B
<u><em>Step(ii):-</em></u>
<u><em>By using matrix inversion method</em></u>
<u><em></em></u>
<u><em></em></u><u><em></em></u>
|A| = ad-b c = 4(5) - 8(-1) = 20+8 = 28
Given matrix
Inverse of the matrix
<u><em></em></u>
<u><em>Step(iii)</em></u>:-
The solution of the given system of equations by using matrix inversion method
X = A⁻¹ B
<u><em>Final answer</em></u>:-
Solution of the given system x = 3 and y= 2