Answer:
x=5 and y=2
Explanation:
Let's solve your system by substitution.
3x+y=17;4x−y=18
Step: Solve 3x+y=17 for y:
3x+y=17
3x+y+−3x=17+−3x(Add -3x to both sides)
y=−3x+17
Step: Substitute−3x+17 for y in 4x−y=18:
4x−y=18
4x−(−3x+17)=18
7x−17=18(Simplify both sides of the equation)
7x−17+17=18+17(Add 17 to both sides)
7x=35
7x
7
=
35
7
(Divide both sides by 7)
x=5
Step: Substitute 5 for x in y=−3x+17:
y=−3x+17
y=(−3)(5)+17
y=2(Simplify both sides of the equation)