Answer:
Explanation:
Rewrite equations: x+y=6;2x−3y=4
Solve x+y=6 for x: x+y+−y=6+−y (Add -y to both sides)
x=−y+6
Substitute −y+6 for x in2x−3y=4: 2x−3y=4
2(−y+6)−3y=4
−5y+12=4 (Simplify both sides of the equation)
−5y+12+−12=4+−12 (Add -12 to both sides)
−5y=−8
−5y/−5=−8/−5 (Divide both sides by -5)
y=8/5
Substitute 8/5 for y in x=−y+6:
x=−y+6
x=−8/5 +6
x=22/5 (Simplify both sides of the equation)
Answer: x=22/5 and y=8/5