Answer:
1. 5m+4=7m+6
Step 1: Subtract 7m from both sides.
5m+4−7m=7m+6−7m
−2m+4=6
Step 2: Subtract 4 from both sides.
−2m+4−4=6−4
−2m=2
Step 3: Divide both sides by -2.
[tex]\frac{-2m}{-2} = \frac{-2}{2}[/tex]
m=−1
_______________________________
2. −5x+3=2x−1
Subtract 2x from both sides.
−5x+3−2x=−1
Combine −5x and −2x to get −7x.
−7x+3=−1
Subtract 3 from both sides.
−7x=−1−3
Subtract 3 from −1 to get −4.
−7x=−4
Divide both sides by −7.
x= [tex]\frac{-4}{-7}[/tex]
[tex]Faction \frac{-4}{-7}[/tex] can be simplified to [tex]\frac{4}{7}[/tex] by removing the negative sign from both the numerator and the denominator.
x= [tex]\frac{4}{7}[/tex]
_____________________________
3. 5t−3=3t+5
Subtract 3t from both sides.
5t−3−3t=5
Combine 5t and −3t to get 2t.
2t−3=5
Add 3 to both sides.
2t=5+3
Add 5 and 3 to get 8.
2t=8
Divide both sides by 2.
t= [tex]\frac{8}{2}[/tex]
Divide 8 by 2 to get 4.
t= 4
___________________________
4. 3y−55=42y
Subtract 42y from both sides.
53y−55−42y=0
Combine 53y and −42y to get 11y.
11y−55=0
Add 55 to both sides. Anything plus zero gives itself.
11y=55
Divide both sides by 11
y= [tex]\frac{55}{11}[/tex]
Divide 55 by 11 to get 5.
y=5
