Answer:
1) 
2) 
Step-by-step explanation:
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Answer:
(3,2)
Step-by-step explanation:
2x+3y=12
substitute x with 3 because x=3
2(3)+3y=12
multiply
6+3y=12
(subtract 6 from both sides)
3y=6
(divide by 3 on both sides)
1y=2
x = 3 and y = 2
Answer:
x = 13
Step-by-step explanation:
Please use " ln " for the "natural logarithm," not " in. "
Then you have: 2 ln 3= ln (x-4)
We need to get rid of the " ln " operator. Rewrite 2 ln 3 as ln 3² = ln (x - 4).
Then 3² = x - 4, or 9 = x - 4, or x = 13
Step-by-step explanation:
again, 2 unknowns.
x = number of 2- points baskets
y = number of 3- points baskets
we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.
x + y = 37
which gives us e.g.
x = 37 - y
and we know that with this unknown mixture they scored 80 points.
so,
2x + 3y = 80
as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.
so, again our 2 equations :
x = 37 - y
2x + 3y = 80
remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :
2×(37 - y) + 3y = 80
74 - 2y + 3y = 80
74 + y = 80
y = 6
and from
x = 37 - y
we get
x = 37 - 6 = 31
so, they had 31 2-points throws and 6 3-points throws.
Answer:
so the discount is 42 and the bill is $78
Step-by-step explanation:
0.35*120=42
discount is 42
120-42=78
the bill is $78
