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.
![(-2m)/(-2) = (-2)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/rok3xkx73rermhv4pd6e8u0tb4vr3x2jry.png)
m=−1
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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=
![(-4)/(-7)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ji5ypvtx9yf3vs7sls1vnnqonw8cve742d.png)
can be simplified to
by removing the negative sign from both the numerator and the denominator.
x=
![(4)/(7)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/91nv0m2w9ppaurpcg3py2sj2zddpttzux1.png)
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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=
![(8)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lsyvaa70o291fcxelh1ypoqqkmxracjd44.png)
Divide 8 by 2 to get 4.
t= 4
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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=
![(55)/(11)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ss7c2dx6i0zcy12co3av6ljn1zgm60wj5g.png)
Divide 55 by 11 to get 5.
y=5