Answer:
Step-by-step explanation:
Step: Solve3x−2y=19for x:
3x−2y=19
3x−2y+2y=19+2y(Add 2y to both sides)
3x=2y+19
3x
3
=
2y+19
3
(Divide both sides by 3)
x=
2
3
y+
19
3
Step: Substitute
2
3
y+
19
3
forxin5x+4y=17:
5x+4y=17
5(
2
3
y+
19
3
)+4y=17
22
3
y+
95
3
=17(Simplify both sides of the equation)
22
3
y+
95
3
+
−95
3
=17+
−95
3
(Add (-95)/3 to both sides)
22
3
y=
−44
3
22
3
y
22
3
=
−44
3
22
3
(Divide both sides by 22/3)
y=−2
Step: Substitute−2foryinx=
2
3
y+
19
3
:
x=
2
3
y+
19
3
x=
2
3
(−2)+
19
3
x=5(Simplify both sides of the equation)
Answer:
x=5 and y=−2
