Find the solution (x,y)to the system of equations.\begin{cases}3x + y = 28\\-x+3y=4\end{cases}Multiply the coordinates x*y

tinfoQ

tinfoQ

Answered question

2021-02-14

Find the solution (x,y)to the system of equations.
{3x+y=28x+3y=4
Multiply the coordinates xy

Answer & Explanation

aprovard

aprovard

Skilled2021-02-16Added 94 answers

Step 1
Given:
The system of equations are,
3x+y=28...(1)
x+3y=4...(2)
The objective is to find the solution of the coordinates (x,y) and multiply them.
Step 2
The system of equations can be solved by multiplying the equation (2) by 3.
3x+y=28
3x+9y=12
On solving the above two equations for y,
10y=40
y=4010
y=4
Step 3
Substitute the value of y in (2) to find the value of x.
x+3y=4
x+3(4)=4
x+12=4
x=412
x=4+12
x=8
Thus, the solution of coordinates is (8,4)
Multiplication of x and y is,
xy=84
xy=32
Hence, multiplication of the coordinates is 32.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-20Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?