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3 years ago

Reasoning Solve the system of linear equations using substitution. Use pencil and paper. Which

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

5 0

Answer:

Since the first equation x is equal to 4y - 9, it is easier to substitute 4y - 9 in for x in the second equation.

x = -1 y = 2

Step-by-step explanation:

Since the first equation x is equal to 4y - 9, it is easier to substitute 4y - 9 in for x in the second equation. That would give you

4y - 9 + 4y = 7

8y - 9 = 7

8y = 16

y = 2

x = 4y - 9 = 4(2) - 9 = 8 - 9 = -1

It is always a good idea to check and see if your results satisfy the two equations

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3 years ago

How many meters are equivalent to 2 miles

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2 years ago

Read 2 more answers

What is the equation of the line that passes through the points (-1, 1.5) and (0.5, 0.5)

Step2247 [10]

The slope-point formula:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have:

$(-1,\ 1.5)\to x_1=-1,\ y_1=1.5\\(0.5,\ 0.5)\to x_2=0.5,\ y_2=0.5$

Substitute:

$m=\dfrac{0.5-1.5}{0.5-(-1)}=\dfrac{-1}{1.5}=-\dfrac{1}{\frac{3}{2}}=-\dfrac{2}{3}\\\\y-1.5=-\dfrac{2}{3}(x-(-1))\\\\y-1.5=-\dfrac{2}{3}x-\dfrac{2}{3}\\\\y-\dfrac{3}{2}=-\dfrac{2}{3}x-\dfrac{2}{3}\ \ \ |+\dfrac{3}{2}\\\\y=-\dfrac{2}{3}x-\dfrac{2}{3}+\dfrac{3}{2}\\\\y=-\dfrac{2}{3}x-\dfrac{2\cdot2}{3\cdot2}+\dfrac{3\cdot3}{2\cdot3}\\\\y=-\dfrac{2}{3}x-\dfrac{4}{6}+\dfrac{9}{6}\\\\y=-\dfrac{2}{3}x+\dfrac{5}{6}$

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3 years ago

A box measures 15 inches by 8 inches by 5 inches. What is the length of its longest diagonal?

Bond [772]

17 inches

15^2 + 8^2 = 289
square root of 289 = 17 inches

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3 years ago

A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet . The width of the banne

Margarita [4]

Answer:

The answer to your question is width = 6 ft; length = 24 ft

Step-by-step explanation:

Data

Area = 144 ft²

width = w

length = l

The width is 1/4 of the length

Formula

Area = width x length = w x l

Length = 4 width l = 4w

Process

1.- Substitute length in the first equation

Area = w(4w)

Simplify

Area = 4w²

2.- Solve for w

w = $\sqrt{\frac{Area}{4}}$

Substitution

w = $\sqrt{\frac{144}{4}}$

Simplification

w = $\sqrt{36}$

Result

w = 6 ft

3.- Find l

l = 4(6)

l = 24 ft

8 0

3 years ago