To solve: \frac{m-4}{3}-\frac{3m-1}{5}=1

Holly Guerrero

Holly Guerrero

Answered question

2021-12-31

To solve: m433m15=1

Answer & Explanation

xandir307dc

xandir307dc

Beginner2022-01-01Added 35 answers

Step 1
Calculation:
Multiply by 15 on both sides,
15(m433m15)=1×15
By distributive property,
15(m433m15)=15(m43)15(3m15)
15(m433m15)=5(m4)3(3m1)
15(m433m15)=5×m5×43×3m3×1
15(m433m15)=5m209m+3
15(m433m15)=174m
174m=15
Add +17 on both sides,
174m+17=15+17
4m=32
Divide by -4 on both sides,
4m4=324
m=8
Esta Hurtado

Esta Hurtado

Beginner2022-01-02Added 39 answers

Lets
karton

karton

Expert2022-01-10Added 613 answers

Step 1
Given: m433m15=1
Find Least Common Multiplier of 3, 5: 15
Multiply by LCM =15
m43×153m15×15=1×15
Simplify
5(m-4)-3(3m-1)=15
Expand 5(m-4)-3(3m-1): -4m-17
-4m-17=15
Add 17 to both sides
-4m-17+17=15+17
Simplify
-4m=32
Divide both sides by -4
4m4=324
Answer: m=-8

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