Solved: "Solve using matrices. x+2y=13 4x−y=16 The solution is..."

kolonelyf4

Answered question

2021-11-16

Solve using matrices.

x + 2 y = 13

4 x - y = 16

The solution is ?.

Donald Proulx

Beginner2021-11-17Added 18 answers

Step 1
The given equations are:

x + 2 y = 13

......(1)

4 x - y = 16

........(2)
Step 2
By multiplying the equation (2) by two we get:

8 x - 2 y = 32

.....(3)
Step 3
Let's add equation (1) and (3):

x + 2 y = 13

......(1)

8 x - 2 y = 32

........(3)

9 x = 45

Step 4
Divide both side of the resultant equation by 9:

\frac{9 x}{9} = \frac{45}{9}

x = 5

Final answer
The value of x is

= 5

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?