Question 1176788

Solve these two equations by Elimination −3𝑥+2𝑦=−6; −2𝑥+𝑦=6
<pre>− 3𝑥 + 2𝑦 = − 6 --- eq (i)
− 2𝑥 + 𝑦 = 6 ------ eq (ii)
To solve this system only <b>ONE</b> 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
{{{highlight_green(matrix(1,4, Solution, "set:", "(- 18,", "- 30)"))}}}