Question 9 solve the following system of equations using matrices. y = 2x – 1 6x – y = 13 (3, 5) (-3, 5) (5, 0)

we are given two system of equations

First equation is

we can write as

Second equation is

now, we can find augmented matrix

now, we can change it into reduced row echelon form

step-1: multiply the 1st row by -1/2

step-2: add -6 times the 1st row to the 2nd row

step-3:multiply the 2nd row by 1/2

step-4:add 1/2 times the 2nd row to the 1st row

so, we will get

Answer is (3,5)

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490