Answer:
x=21/4
Step-by-step explanation:
1. combine like terms
-4+-7= -11 3x-2x=x
2. subtract x
5x-11=x+10
4x-11=10
3. add 11
4x=21
4. divide 21 by 4 = 21/4
Answer:
adjacent angles
Step-by-step explanation:
they all touch
Answer:
x = -0.6
y = 2.2
z = 2
Step-by-step explanation:
2x + y - 2z = -3
x + 3y - z = 4
3x + 4y - z = 5
Rewrite the system in matrix form and solve it by Gaussian Elimination (Gauss-Jordan elimination)
2 1 -2 -3
1 3 -1 4
3 4 -1 5
R1 / 2 → R1 (divide the 1 row by 2)
1 0.5 -1 -1.5
1 3 -1 4
3 4 -1 5
R2 - 1 R1 → R2 (multiply 1 row by 1 and subtract it from 2 row); R3 - 3 R1 → R3 (multiply 1 row by 3 and subtract it from 3 row)
1 0.5 -1 -1.5
0 2.5 0 5.5
0 2.5 2 9.5
R2 / 2.5 → R2 (divide the 2 row by 2.5)
1 0.5 -1 -1.5
0 1 0 2.2
0 2.5 2 9.5
R1 - 0.5 R2 → R1 (multiply 2 row by 0.5 and subtract it from 1 row); R3 - 2.5 R2 → R3 (multiply 2 row by 2.5 and subtract it from 3 row)
1 0 -1 -2.6
0 1 0 2.2
0 0 2 4
R3 / 2 → R3 (divide the 3 row by 2)
1 0 -1 -2.6
0 1 0 2.2
0 0 1 2
R1 + 1 R3 → R1 (multiply 3 row by 1 and add it to 1 row)
1 0 0 -0.6
0 1 0 2.2
0 0 1 2
x = -0.6
y = 2.2
z = 2
Answer:6
Step-by-step explanation:Reorder
2
2
and
−
x
-
x
.
y
=
−
x
+
2
y
=
-
x
+
2
3
x
+
3
y
=
6
3
x
+
3
y
=
6
Replace all occurrences of
y
y
in
3
x
+
3
y
=
6
3
x
+
3
y
=
6
with
−
x
+
2
-
x
+
2
.
y
=
−
x
+
2
y
=
-
x
+
2
3
x
+
3
(
−
x
+
2
)
=
6
3
x
+
3
(
-
x
+
2
)
=
6
Simplify
3
x
+
3
(
−
x
+
2
)
3
x
+
3
(
-
x
+
2
)
.
Tap for more steps...
y
=
−
x
+
2
y
=
-
x
+
2
6
=
6
6
=
6
Since
6
=
6
6
=
6
, the equation will always be true.
y
=
−
x
+
2
y
=
-
x
+
2
Always true
Remove any equations from the system that are always true.
y
=
−
x
+
2
Answer:
5 minutes
Step-by-step explanation:
8miles/1mile = 40minutes/ x minutes
x = 5 minutes
