Solve : 2m +
1/4
(m+1) = 10
Answers
Answer:
Step-by-step explanation:
How to solve your problem
2
+
1
4
(
+
1
)
=
1
0
2m+\frac{1}{4}(m+1)=10
2m+41(m+1)=10
Solve
1
Combine multiplied terms into a single fraction
2
+
1
4
(
+
1
)
=
1
0
2m+\frac{1}{4}(m+1)=10
2m+41(m+1)=10
2
+
1
(
+
1
)
4
=
1
0
2m+\frac{1(m+1)}{4}=10
2m+41(m+1)=10
2
Multiply by 1
2
+
1
(
+
1
)
4
=
1
0
2m+\frac{1(m+1)}{4}=10
2m+41(m+1)=10
2
+
+
1
4
=
1
0
2m+\frac{m+1}{4}=10
2m+4m+1=10
3
Find common denominator
2
+
+
1
4
=
1
0
2m+\frac{m+1}{4}=10
2m+4m+1=10
4
⋅
2
4
+
+
1
4
=
1
0
\frac{4 \cdot 2m}{4}+\frac{m+1}{4}=10
44⋅2m+4m+1=10
4
Combine fractions with common denominator
4
⋅
2
4
+
+
1
4
=
1
0
\frac{4 \cdot 2m}{4}+\frac{m+1}{4}=10
44⋅2m+4m+1=10
4
⋅
2
+
+
1
4
=
1
0
\frac{4 \cdot 2m+m+1}{4}=10
44⋅2m+m+1=10
5
Multiply the numbers
4
⋅
2
+
+
1
4
=
1
0
\frac{{\color{#c92786}{4}} \cdot {\color{#c92786}{2}}m+m+1}{4}=10
44⋅2m+m+1=10
8
+
+
1
4
=
1
0
\frac{{\color{#c92786}{8}}m+m+1}{4}=10
48m+m+1=10
6
Combine like terms
8
+
+
1
4
=
1
0
\frac{{\color{#c92786}{8m}}+{\color{#c92786}{m}}+1}{4}=10
48m+m+1=10
9
+
1
4
=
1
0
\frac{{\color{#c92786}{9m}}+1}{4}=10
49m+1=10
7
Multiply all terms by the same value to eliminate fraction denominators
9
+
1
4
=
1
0
\frac{9m+1}{4}=10
49m+1=10
4
(
9
+
1
4
)
=
4
⋅
1
0
4(\frac{9m+1}{4})=4 \cdot 10
4(49m+1)=4⋅10
8
Cancel multiplied terms that are in the denominator
4
(
9
+
1
4
)
=
4
⋅
1
0
4(\frac{9m+1}{4})=4 \cdot 10
4(49m+1)=4⋅10
9
+
1
=
4
⋅
1
0
9m+1=4 \cdot 10
9m+1=4⋅10
9
Multiply the numbers
9
+
1
=
4
⋅
1
0
9m+1={\color{#c92786}{4}} \cdot {\color{#c92786}{10}}
9m+1=4⋅10
9
+
1
=
4
0
9m+1={\color{#c92786}{40}}
9m+1=40
10
Subtract
1
1
1
from both sides of the equation
9
+
1
=
4
0
9m+1=40
9m+1=40
9
+
1
−
1
=
4
0
−
1
9m+1{\color{#c92786}{-1}}=40{\color{#c92786}{-1}}
9m+1−1=40−1
11
Simplify
Subtract the numbers
Subtract the numbers
9
=
3
9
9m=39
9m=39
12
Divide both sides of the equation by the same term
9
=
3
9
9m=39
9m=39
9
9
=
3
9
9
\frac{9m}{{\color{#c92786}{9}}}=\frac{39}{{\color{#c92786}{9}}}
99m=939
13
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
1
3
3
Answer:
2m+1/4
(m-1)=10
Step-by-step explanation:
2(1)+1/4
2+1/4
9/4=2(1/4)
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