You solve an equation like this by adding the opposite of the constant to both sides of the equation.
... V -16 +16 = -32 +16 . . . . . addition property of equality: if a=c, then a+b = c+b
... V + 0 = -16 . . . . . . . . . . . . additive inverse property of integers: -16+16 = 0
... V = -16 . . . . . . . . . . . . . . . identity element of addition: V+0 = V
_____
<em>You can always do the same thing to both sides of an equation.</em> Here, it is useful to add the opposite of -16 to both sides. That way the constant on the left becomes zero, so you only have the variable by itself—which is what you want.
Answer:
6
Step-by-step explanation:
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:
D.
Step-by-step explanation:
There is not enough information to determine congruency. The corresponding angles are congruent, but angle measures do not affect side lengths. For example, a 45-45-90 right triangle could have side measures of 1, 1, √2 and another 45-45-90 right triangle could have side measures of 2, 2, 2√2. They are both special right triangles, but they are not congruent until you know some side lengths. You can only say these are similar.
