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yan [13]
3 years ago
9

37=-3+5(x+6) -13=5(1+4m)-2m Show work please *

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

-3+5(x+6)=37\ \ \ \ |\text{use distributive property}\\\\-3+(5)(x)+(5)(6)=37\\\\-3+5x+30=37\\\\5x+(-3+30)=37\\\\5x+27=37\ \ \ \ |-27\\\\5x=10\ \ \ |:5\\\\\boxed{x=2}\\-------------------------------\\5(1+4m)-2m=-13\ \ \ \ |\text{use distributive property}\\\\(5)(1)+(5)(4m)-2m=-13\\\\5+20m-2m=-13\\\\5+(20m-2m)=-13\\\\5+18m=-13\ \ \ \ |-5\\\\18m=-18\ \ \ \ |:18\\\\\boxed{m=-1}

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Assignment: \bold{Simplify \ Equation: \ 7\left(3\sqrt{2}x\right)-3\left(3\sqrt{16}x\right)-3\left(3\sqrt{8}x\right)}

<><><><><><><>

Answer: \boxed{\bold{3\sqrt{2}x-36x}}

<><><><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><><><>

[ Step One ] Remove Parenthesis (a) = a

\bold{7\cdot \:3\sqrt{2}x-3\cdot \:3\sqrt{16}x-3\cdot \:3\sqrt{8}x}

[ Step Two ] Simplify Equations

\bold{7\cdot \:3\sqrt{2}x: \ 21\sqrt{2}x}

\bold{3\cdot \:3\sqrt{16}x: \ 36x}

\bold{3\cdot \:3\sqrt{8}x: \ 18\sqrt{2}x}

[ Step Three ] Rewrite Equation

\bold{21\sqrt{2}x-36x-18\sqrt{2}x}

[ Step Four ] Add Similar Elements

\bold{21\sqrt{2}x-18\sqrt{2}x=3\sqrt{2}x}

[ Step Five ] Rewrite Equation

\bold{3\sqrt{2}x-36x}

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\bold{\rightarrow Mordancy \leftarrow}

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