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3 years ago

Solve the system of equations using the substitution method. -5x − 3y = 16 y = x

Mathematics

2 answers:

Elena-2011 [213]3 years ago

6 0

Answer:

(-2, -2)

Step-by-step explanation:

Make use of the 2nd equation to eliminate x or y in the 1st equation:

-5x - 3(x) = 16

Then -8x = 16, and x = -2. Since we are told that y = x, y = -2.

The solution is (-2, -2).

max2010maxim [7]3 years ago

3 0

Answer:

-5x - 3x = 16

-8x = 16

x = -2

y = x

Step-by-step explanation:

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The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?

pantera1 [17]

Answer:

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Step-by-step explanation:

Hello, I can help you with this question

in this case we know the circumference of a circle, and we need to find out the diameter.

let's remember

the radius of a circle can be defined as

$radius=\frac{diameter}{2}\\ or\\diameter=2* radius( equation\ 1)\\$

also

$circumference=2*\pi *radius(equation2)\\$

Step1

replace the value of the circumference of tyler's bike in equation 2 and isolate radius to find radius

$72 inches=2*\pi *radius\\\\radius=\frac{72}{2*\pi } \radius =11.46\ inches$

Step 2

now, replace the value of radius into equation 1 to find diameter

radius=11.46 in

$diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92$

so, the diameter is 22.92 inches

I really hope it helps, have a great day.

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