Answer:
x
=
0
y
=
−
2
Explanation:
simply subtract each term in the second equation from the first equation:
3
x
+
4
y
=
−
8
3
x
+
16
y
=
−
32
(
3
x
−
3
x
)
+
(
4
y
−
16
y
)
=
(
−
8
−
(
−
32
)
)
(
0
)
+
(
−
12
y
)
=
(
−
8
+
32
)
−
12
y
=
24
y
=
−
2
now use either original equation to solve for
x
:
3
x
+
4
y
=
−
8
3
x
+
4
(
−
2
)
=
−
8
3
x
−
8
=
−
8
3
x
=
0
x
=
0
Answer:
Mrs. Wang is 38 years old and her daughter is 15 years old.
Step-by-step explanation:
Explanation:
Let
x
=
the daughter's age
Mrs. Wang is
23
years older, so her age is
x
+
23
In five years, the daughter will be
x
+
5
years old
In five years, Mrs. Wang will be
x
+
23
+
5
=
x
+
28
years old
And, in five years the sum of their ages will be 63, so...
x
+
5
+
x
+
28
=
63
Combine like terms
2
x
+
33
=
63
a
a
−
33
a
−
33
a
a
a
Subtract 33 from both sides
2
x
a
a
a
a
a
=
30
2
x
2
=
30
2
a
a
a
Divide both sides by 2
x
=
15
a
a
a
The daughter is 15
x
+
23
=
15
+
23
=
38
a
a
a
Mrs. Wang is 38
With $17.50 she can get 11 2/3 gallons. 11 (she just got) + 8 (that she had) = 19 gallons. 19 x 27 MPG = 513 Miles.
27 divided by 3 = 9 (9 is a third of the MPG) 9 x 2 (since it was 2 thirds that were left) = 18
In total she can drive 531 miles.
Long piece: 5x + 3
Short piece: x
Long + Short = Total
5x + 3 + x = 45
6x + 3 = 45
6x = 42
x = 7
Long piece: 5x + 3 = 5(7) + 3 = 35 + 3 = 38
Answer: short = 7 ft, long = 38 ft
Answer:
10
Step-by-step explanation:
