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II. Determine the value of the indicated variable in each parallelogram show your complete solution​

II Determine The Value Of The Indicated Variable In Each Parallelogram Show Your Complete Solution class=

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Equations

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[tex]\Large \bold{2.}[/tex] Solve for x

[tex]\large \tt 5x=120[/tex]

[tex]\large \tt 5x \div 5=120 \div 5[/tex]

[tex]\Large \bold{\purple{x=20}}[/tex]

Solve for y

[tex]\large \tt 9y-3=4y+32[/tex]

[tex]\large \tt 9y-4y=32+3[/tex]

[tex]\large \tt 5y=35[/tex]

[tex]\large \tt 5y \div 5=35 \div 5[/tex]

[tex]\Large \bold{\purple{y=7}}[/tex]

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[tex]\Large \bold{4.}[/tex] Solve for x

[tex]\large \tt 4x=x+3[/tex]

[tex]\large \tt 4x-x=3[/tex]

[tex]\large \tt 3x=3[/tex]

[tex]\large \tt 3x \div 3=3 \div 3[/tex]

[tex]\Large \bold{\purple{x=1}}[/tex]

Solve for y

[tex]\large \tt 4y-5=2y+1[/tex]

[tex]\large \tt 4y-2y=1+5[/tex]

[tex]\large \tt 2y=6[/tex]

[tex]\large \tt 2y \div 2=6 \div 2[/tex]

[tex]\Large \bold{\purple{y=3}}[/tex]

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[tex]\Large \bold{6.}[/tex] Solve for y

[tex]\large \tt 8x-4y=4 \ \ , \ \ x+3y=11[/tex]

[tex]\large \tt 8x-4y=4 \ \ , \ \ -8(x+3y=11)[/tex]

[tex]\large \tt 8x-4y=4 \ \ , \ \ -8x-24y=-88[/tex]

[tex]\large \tt 8x-8x-4y-24y=4-88[/tex]

[tex]\large \tt -28y=-84[/tex]

[tex]\large \tt (-28y) \div (-28)=(-84) \div (-28)[/tex]

[tex]\Large \bold{\purple{y=3}}[/tex]

Solve for x

[tex]\large \tt x+3y=11[/tex]

[tex]\large \tt x+3(3)=11[/tex]

[tex]\large \tt x+9=11[/tex]

[tex]\large \tt x=11-9[/tex]

[tex]\Large \bold{\purple{x=2}}[/tex]

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