Question

Solve the given system by the substitution method. If there is no solution or an infinite number of​ solutions, so state. Use set notation to express solution sets.
x+3y=14
4x+5y=35

Answer 1

X=14-3y and sub into equation 2
4(14-3y)+5y=35
56-12y+5y=35
56-35=7y
y=21/7
y=3sub back into equation 1
x +3(3)=14
x=14-9
x=5
there fore (x,y)=(5,3)