Answer:

Step-by-step explanation:
Soh-cah-toa is a great way to remember:

You just remember the first letters : sine= opposite/hypotenuse , for example.
Problem:
Solve
2
x
+
5
y
=
−
3
;
3
x
−
y
=
21
Steps:
I will try to solve your system of equations.
3
x
−
y
=
21
;
2
x
+
5
y
=
−
3
Step: Solve
3
x
−
y
=
21
for y:
3
x
−
y
+
−
3
x
=
21
+
−
3
x
(Add -3x to both sides)
−
y
=
−
3
x
+
21
−
y
−
1
=
−
3
x
+
21
−
1
(Divide both sides by -1)
y
=
3
x
−
21
Step: Substitute
3
x
−
21
for
y
in
2
x
+
5
y
=
−
3
:
2
x
+
5
y
=
−
3
2
x
+
5
(
3
x
−
21
)
=
−
3
17
x
−
105
=
−
3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
(Add 105 to both sides)
17
x
=
102
17
x
17
=
102
17
(Divide both sides by 17)
x
=
6
Step: Substitute
6
for
x
in
y
=
3
x
−
21
:
y
=
3
x
−
21
y
=
(
3
)
(
6
)
−
21
y
=
−
3
(Simplify both sides of the equation)
Answer:
y
=
−
3
and
x
=
6
4x-4>20
Step 1: Add four to both sides
4x-4+4>20+4
4x>24
Step 2: Divide both sides by 4
4x divided by 4 and 24 divided by 4
Answer: x>6
Kahal accidentally subtracted instead of adding. He made a mistake in step 2.
Answer:
(x, y) = (-6, 3)
Step-by-step explanation:
Maybe you want to solve ...
Use the first equation to substitute for y in the second:
2x +3(-2x -9) = -3
2x -6x -27 = -3
-4x = 24 . . . . . . . . . add 27, simplify
x = -6 . . . . . . . . . . . divide by -4
y = -2(-6) -9 = 12 -9 = 3
The solution is (x, y) = (-6, 3).
Answer: 8/9
Step-by-step explanation:
0.8888888 = 8/9