Answer:
x=1
and
y=0
Step-by-step explanation:
Step: Solve 3x+5y=3 for x:
3x+5y=3
3x+5y+ −5y=3+ −5y (Add -5y to both sides)
3x=−5y+3
3x/3=-5y+3/3
(Divide both sides by 3)
x=
−5/3y +1
Step: Substitute
−5/3y+1
For x in 4x+5y=4:
4x+5y=4
4(−5/3y+1)+5y=4
−5/3y+4=4 (Simplify both sides of the equation)
−5/3y+4+ −4=4+ −4 (Add -4 to both sides)
−5/3y=0
−5/3y
−5/3 = 0
−5/3
(Divide both sides by (-5)/3)
y=0
Step: Substitute 0 for y in x=
−5/3y+1:
x=−5/3y+1
x=−5/3(0)+1
x=1 (Simplify both sides of the equation)
Answer:
x=1 and y=0