Answer:
x=−2 and y=−5
Explanation:
Solve3x−2y=4for x:
3x−2y=4
3x−2y+2y=4+2y(Add 2y to both sides)
3x=2y+4
3x /3 = 2y+4 /3 (Divide both sides by 3)
x= 2 /3 y+ 4 /3
Substitute 2 /3 y+ 4 /3 for x in6x−2y=−2:
6x−2y=−2
6( 2 /3 y+ 4 /3 )−2y=−2
2y+8=−2(Simplify both sides of the equation)
2y+8+−8=−2+−8(Add -8 to both sides)
2y=−10
2y /2 = −10 /2 (Divide both sides by 2)
y=−5
Substitute−5 for y in x=
2 /3 y+ 4 /3 :
x= 2 /3 y+ 4 /3
x= 2 /3 (−5)+ 4 /3
x=−2(Simplify both sides of the equation)