Answer :
Answer:
(55/27, 32/9)
Step-by-step explanation:
The system of equations is
[tex]3x+7y=31 \\3x-2y=-1[/tex]
The first step is to arrange like terms in colums, which is already done.
Then, we need to multiply a number by one equation in such way where we get opposite like terms. Notice that we need to multiply the first equation by -1
[tex]-3x-7y=-31\\3x-2y=-1[/tex]
Then, we sum equations to obtain the value of one variable.
[tex]0-9y=-32\\y=\frac{-32}{-9}\\ y=\frac{32}{9}[/tex]
Now, we use this value to find the second variable
[tex]3x-2y=-1\\3x-2(\frac{32}{9} )=-1\\3x=-1+\frac{64}{9}\\ 3x=\frac{-9+64}{9}\\ 3x=\frac{55}{9}\\ x=\frac{55}{27}[/tex]
Therefore, the solution is (55/27, 32/9).
(The image attached shows the graphic solution)
