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)

(7, 2)

Step-by-step explanation:

Given the 2 equations

3x - 2y = 17 → (1)

x - 3y = 1 → (2)

Rearrange (2) expressing x in terms of y by adding 3y to both sides

x = 1 + 3y → (3)

Substitute x = 1 + 3y in (1)

3 (1 + 3y) - 2y = 17 ← distribute and simplify left side

3 + 9y - 2y = 17

3 + 7y = 17 (subtract 3 from both sides)

7y = 14 (divide both sides by 7)

y = 2

Substitute y = 2 into (3) for corresponding value of x

x = 1 + 3 (2) = 1 + 6 = 7

Solution is (7, 2)

C: (7,2)

Step-by-step explanation:

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