Answer:
1. [tex]x=3[/tex]
2. [tex]x=3[/tex]
3. [tex]x=2[/tex]
4. [tex]p=2[/tex]
5. [tex]y=12[/tex]
6. [tex]m=3[/tex]
Step-by-step explanation:
1. [tex]2x+4=10[/tex]
Subtract 4
[tex]2x=10-4\\2x=6\\[/tex]
Divide by 2.
[tex]x=\frac{6}{2} \\x=3[/tex]
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2. [tex]3x+15=24[/tex]
Subtract 15
[tex]3x=24-15\\3x=9[/tex]
Divide by 3.
[tex]x=\frac{9}{3}\\ x=3[/tex]
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From now on, I'll proceed to do the same.
3. [tex]4x+5=13[/tex]
[tex]4x=13-5\\4x=8\\x=\frac{8}{4}\\ x=2[/tex]
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4. [tex]-5p+8=-2[/tex]
[tex]-5p=-2-8\\-5p=-10\\p=\frac{-10}{-5}\\ p=2[/tex]
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5. [tex]2+\frac{2}{3}y=10[/tex]
[tex]\frac{2}{3}y=10-2\\\frac{2}{3}y=8[/tex]
Multiply by the reciprocal of 2/3
[tex](\frac{3}{2})(\frac{2}{3})y=8 (\frac{3}{2})[/tex]
[tex]y=12[/tex]
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6. [tex]13=1+4m[/tex]
[tex]13-1=4m\\12=4m\\\frac{12}{4}=m[/tex]
[tex]3=m[/tex]
