Answer:
x=−4 and y=−2
The solution is ( -4, -2)
Explanation:
x−y=−2;2x−3y=−2
Step 1: Solve x−y=−2 for x:
x−y=−2
x−y+y=−2+y(Add y to both sides)
x=y−2
Step 2: Substitute y−2 for x in 2x−3y=−2:
2x−3y=−2
2(y−2)−3y=−2
−y−4=−2(Simplify both sides of the equation)
−y−4+4=−2+4(Add 4 to both sides)
−y=2
-y/-1 = 2/-1 (Divide both sides by -1)
y = -2
Step 3: Substitute −2 for y in x=y−2:
x=y−2
x=−2−2
x=−4(Simplify both sides of the equation)
x=−4 and y=−2