Question

I need help with this queston

Answer 1

Answer:

(55/27, 32/9)

Step-by-step explanation:

The system of equations is

$3x+7y=31 \\3x-2y=-1$

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

$-3x-7y=-31\\3x-2y=-1$

Then, we sum equations to obtain the value of one variable.

$0-9y=-32\\y=\frac{-32}{-9}\\ y=\frac{32}{9}$

Now, we use this value to find the second variable

$3x-2y=-1\\3x-2(\frac{32}{9} )=-1\\3x=-1+\frac{64}{9}\\ 3x=\frac{-9+64}{9}\\ 3x=\frac{55}{9}\\ x=\frac{55}{27}$

Therefore, the solution is (55/27, 32/9).

(The image attached shows the graphic solution)