Question

Help mi out plz..... solve using matrix method​

Answer 1

Answer:

x = $\frac{22}{7}$

y = $\frac{3}7}$

Step-by-step explanation:

$2x-3y=5\\5x=4y=14\\\\\left[\begin{array}{cc}2&-3\\5&-4\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right] =\left[\begin{array}{c}5\\14\\\end{array}\right]$

Let A = $\\\left[\begin{array}{cc}2&-3\\5&-4\\\end{array}\right]$

The inverse of A multiplied by A = the identity matrix $\left[\begin{array}{cc}1&0\\0&1\\\end{array}\right]$

Inverse of A = $\frac{1}{detA}$ $\left[\begin{array}{ccc}-4&3\\-5&2\\\end{array}\right]$

detA = ad - bc = $-8 - - 15 = 7$

Inverse of A = $\left[\begin{array}{cc}\frac{-4}{7} &\frac{3}{7} \\\frac{-5}{7} &\frac{2}{7}\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{cc}\frac{-4}{7} &\frac{3}{7} \\\frac{-5}{7} &\frac{2}{7}\\\end{array}\right] \left[\begin{array}{ccc}5\\14\\\end{array}\right] = \left[\begin{array}{ccc}\frac{22}{7} \\\frac{3}{7} \\\end{array}\right]$