Hi
−3𝑥+2𝑦=−6
−2𝑥+ 𝑦=6

−6𝑥+4𝑦=−12
6𝑥 -3𝑦= -18
     y = -30   and x = -18  

 P(-18, -30)  is the solution for this system of equations.
Wish You the Best in your Studies.

− 3𝑥 + 2𝑦 = − 6 --- eq (i)

− 2𝑥 + 𝑦 = 6 ------ eq (ii)

To solve this system only ONE of the 2 equations needs to be altered. That one's eq (ii).

4x - 2y = - 12 ------- Multiplying eq (ii) by - 2 ------ eq (iii)

x = - 18 ------------- Adding eqs (iii) & (i)

- 2(- 18) + y = 6 ---- Substituting - 18 for x in eq (ii)

36 + y = 6

y = 6 - 36 = - 30

 

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