Step: Solve
−
3
x
+
3
y
=
9
for x:
−
3
x
+
3
y
=
9
−
3
x
+
3
y
+
−
3
y
=
9
+
−
3
y
(Add -3y to both sides)
−
3
x
=
−
3
y
+
9
−
3
x
−
3
=
−
3
y
+
9
−
3
(Divide both sides by -3)
x
=
y
−
3
Step: Substitute
y
−
3
for
x
in
2
x
−
7
y
=
−
14
:
2
x
−
7
y
=
−
14
2
(
y
−
3
)
−
7
y
=
−
14
−
5
y
−
6
=
−
14
(Simplify both sides of the equation)
−
5
y
−
6
+
6
=
−
14
+
6
(Add 6 to both sides)
−
5
y
=
−
8
−
5
y
−
5
=
−
8
−
5
(Divide both sides by -5)
y
=
8
5
Step: Substitute
8
5
for
y
in
x
=
y
−
3
:
x
=
y
−
3
x
=
8
5
−
3
x
=
−
7
5
(Simplify both sides of the equation)
Answer:
X=-7/5 and y= 8/5
You should add 1 cup of water
Answer: 2/3, 29/36, 5/6, 8/9
Step-by-step explanation:
You find the common denominator you could use for all fractions. In this instance, you can use 36 for the common denominator.
2/3: 36/3=12, 2x12=24 therefore 2/3 becomes 24/36.
29/36: you leave this one alone, it has already been simplified.
5/6: 36/6=6, 6x5=30 therefore 5/6 becomes 30/36.
8/9: 36/9=4, 8x4=32 therefore 8/9 becomes 32/26.
The terms point, line and plane, are the undefined terms in geometry. They are so basic that these terms are used to define other terms in geometry. You can describe a point to be indicating a location or position without any thickness. A line is a series of points that travel in one direction infinitely at both ends. A plane is a flat surface of area. The diagram of line ST intersecting plane M at point R is shown in the attached picture.