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3 years ago

Write an equation or system of equations to solve the problem below.

Mathematics

1 answer:

VashaNatasha [74]3 years ago

5 0

Equations:

2x+105=-3x+130

subtract 2x from both sides 

105= -5x+130

Subtract 130 from both sides

-5x= -25

isolate the variable

x=5 

Plug back in

2(5)+105= -3(5)+130

115= 115

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-2x-y=-9 5x-2y=18 substitution

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$-2x-y=-9 \\
5x-2y=18 \\ \\
\hbox{solve the first equation for y:} \\
-2x-y=-9 \ \ \ |+2x \\
-y=-9+2x \ \ \ |\times (-1) \\
y=9-2x \\ \\
\hbox{substitute 9-2x for y in the second equation:} \\
5x-2(9-2x)=18 \\
5x-18+4x=18 \\
9x-18=18 \ \ \ |\div 9 \\
x-2=2 \ \ \ |+2 \\
x=4 \\ \\
y=9-2x=9-2 \times 4=9-8=1 \\ \\
\boxed{(x,y)=(4,1)}$

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Step-by-step explanation:

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A triangle has side lengths 4 inches 5 inches and 7 inches. is the triangle a right triangle

garri49 [273]

Hey there!

Yes this triangle is a right triangle. Leg lengths 4 and 5 in. would be the legs and the 7 inch would be the hypotenuse.

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2 years ago

Help as soon as possible!

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$(7 + x + a)(7 - x - a)$

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The speed v of a gear varies inversely as the number of teeth t. If a gear that has 42 teeth makes 24 revolutions per minute (rp

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The speed v of a gear varies inversely as the number of teeth t


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