Herky was given the following system of equations to solve. 3 x minus 2 y = 17. X minus 3 y = 1. What is the solution to the system? (2, 7) (StartFraction 20 Over 7 EndFraction, StartFraction 67 over 7 EndFraction) (7, 2) (StartFraction 67 Over 7 EndFraction, StartFraction 20 Over 7 EndFraction).

Respuesta :

Linear equation is the equation in which the highest power of the variable is one. The solution of the given equation is (7,2). Hence the option 3 is correct.

Given information-

The given linear equation in the problem area,

[tex]\begin{aligned}\\3x-2y &=17\;\;\;\;\;\;\;\;.......1\\x-3y &=1 \;\;\;\;\;\;\;\;\;\;.......2\\\end{align}[/tex]        

The given equation are the set of the linear equation.

Linear equation-        

Linear equation is the equation in which the highest power of the variable is one.                                            

Rewrite the equation 2 to get the value of variable x in terms of y,

[tex]\begin{aligned}\\x-3y &=1\\x &=1+3y\;\;\;\;\;\;\;\;.......3\\\\\end[/tex]

Put this value of x in the equation 1. Thus,

[tex]\begin{aligned}\\3(1+3y)-2y &=17\\3+9y-2y &=17\\7y &=17-3\\y &=\dfrac{14}{7} \\y &=2\\\end[/tex]

Thus the value of the variable y is 2. Put this in equation 3.

[tex]\begin{equation}\\x=1+3y\\x=1+3\times 2\\x=1+6\\x=7\\\\\end[/tex]

The value of the variable y is 7.

Thus the solution of the given equation is (7,2). Hence the option 3 is correct.

Learn more about the linear equation here;

https://brainly.com/question/11897796

Answer:

Its C.

Sorry I am late. But for whoever does the unit test the answer is C :)

Step-by-step explanation: