(ii) 5(t-4)+2(t-6)-3(t+8)=0
Answers
Answer:
t=14.
Step-by-step explanation:
5(t-4)+2(t-6)-3(t+8)=0
5t-20+2t-12-3t-24=0
4t-56=0
4t=56
t=56/4
t=14
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Answer:
t = 2
Step-by-step explanation:
Distribute
5
(
−
4
)
+
2
(
−
6
)
−
3
(
−
8
)
=
0
{\color{#c92786}{5(t-4)}}+2(t-6)-3(t-8)=0
5(t−4)+2(t−6)−3(t−8)=0
5
−
2
0
+
2
(
−
6
)
−
3
(
−
8
)
=
0
{\color{#c92786}{5t-20}}+2(t-6)-3(t-8)=0
5t−20+2(t−6)−3(t−8)=0
2
Distribute
5
−
2
0
+
2
(
−
6
)
−
3
(
−
8
)
=
0
5t-20+{\color{#c92786}{2(t-6)}}-3(t-8)=0
5t−20+2(t−6)−3(t−8)=0
5
−
2
0
+
2
−
1
2
−
3
(
−
8
)
=
0
5t-20+{\color{#c92786}{2t-12}}-3(t-8)=0
5t−20+2t−12−3(t−8)=0
3
Distribute
5
−
2
0
+
2
−
1
2
−
3
(
−
8
)
=
0
5t-20+2t-12{\color{#c92786}{-3(t-8)}}=0
5t−20+2t−12−3(t−8)=0
5
−
2
0
+
2
−
1
2
−
3
+
2
4
=
0
5t-20+2t-12{\color{#c92786}{-3t+24}}=0
5t−20+2t−12−3t+24=0
4
Add the numbers
5
−
2
0
+
2
−
1
2
−
3
+
2
4
=
0
5t{\color{#c92786}{-20}}+2t{\color{#c92786}{-12}}-3t+{\color{#c92786}{24}}=0
5t−20+2t−12−3t+24=0
5
−
8
+
2
−
3
=
0
5t{\color{#c92786}{-8}}+2t-3t=0
5t−8+2t−3t=0
5
Combine like terms
5
−
8
+
2
−
3
=
0
{\color{#c92786}{5t}}-8+{\color{#c92786}{2t}}{\color{#c92786}{-3t}}=0
5t−8+2t−3t=0
4
−
8
=
0
{\color{#c92786}{4t}}-8=0
4t−8=0
6
Add
8
8
8
to both sides of the equation
4
−
8
=
0
4t-8=0
4t−8=0
4
−
8
+
8
=
0
+
8
4t-8+{\color{#c92786}{8}}=0+{\color{#c92786}{8}}
4t−8+8=0+8
7
Simplify
Add the numbers
Add the numbers
4
=
8
4t=8
4t=8
8
Divide both sides of the equation by the same term
4
=
8
4t=8
4t=8
4
4
=
8
4
\frac{4t}{{\color{#c92786}{4}}}=\frac{8}{{\color{#c92786}{4}}}
44t=48
9
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
2