Ireally don’t know what to do/i’m completely can someone explain step by step in details.

x = -2 and y = -8

Step-by-step explanation:

STEP 1: the first step in solving the system of equations, we need to isolate one variable for one equation and then plug in the resulting equation into the other equation

13x - 6y = 22

x = y + 6

looking at our 2 equations, we see that x is by itself in the 2nd equation, so this has made it easy for us! we can now substitute y + 6 into 13x - 6y = 22 where y + 6 = x

13(y + 6) - 6y = 22 < distribute 13 into y + 6

13y + 78 - 6y = 22 < combine like terms

7y + 78 = 22 < we want to get y alone, so subtract 78 from both sides

-78          -78

7y = -56 < to get y alone, divide both sides by 7

7y/7 = y

-56/7 = -8

y = -8

STEP 2: we have now found our y, so the next step is to plug in the value we have for y into one of the original equations and solve for x. i have chosen x = y + 6, but you can do it for 13x - 6y = 22 as well

x = (-8) + 6 < add

x = -2

so our x value is -2, if you were to plug in y = -8 into 13x - 6y =22 you would get the following:

13x - 6(-8) = 22

13x + 48 = 22 < subtract 48 from both sides

-48           -48

13x = -26 < divide both sides by 13

13x/13 = x

-26/13 = -2

x = -2

our final answer is x = -2 and y = -8

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.