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3 years ago

Use substitution to find the solution to the system of equations. 5x+7y=-29 y=x+1

Mathematics

1 answer:

Lostsunrise [7]3 years ago

8 0

Answer:

(x, y) = (- 3, - 2)

Step-by-step explanation:

given the 2 equations

5x + 7y = - 29 → (1)

y = x + 1 → (2)

substitute y = x + 1 into (1)

5x + 7(x + 1) = - 29 ( distribute and simplify left side )

5x + 7x + 7 = - 29

12x + 7 = - 29 ( subtract 7 from both sides )

12x = - 36 ( divide both sides by 12 )

x = - 3

substitute x = - 3 into (2)

y = - 3 + 1 = - 2

solution is (- 3, - 2 )

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3 years ago

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larisa86 [58]

Answer:

The slope is 1/2
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Step-by-step explanation:

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2 years ago

Hey, Its the same person. This is Algebra 2. Please Help!

suter [353]

Answer:

first option

Step-by-step explanation:

Given

f(x) = $\frac{2x^2+5x-12}{x+4}$ ← factorise the numerator

= $\frac{(x + 4)(2x-3)}{x+4}$ ← cancel (x + 4) on numerator/ denominator

= 2x - 3

Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is

x = - 4

Substitute x = - 4 into the simplified f(x) for y- coordinate

f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11

The discontinuity occurs at (- 4, - 11 )

To obtain the zero let f(x) = 0, that is

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There is a zero at ( $\frac{3}{2}$ , 0 )

Thus

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7 0

3 years ago

How do I solve this ?

noname [10]

The answer is around 29

8 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth.47

IRISSAK [1]

Given a right angle triangle

The length of the legs are 4 and 7

we will find the hypotenuse using the Pythagorean theorem

So,

$\begin{gathered} h^2=7^2+4^2=49+16=65 \\ h=\sqrt[]{65}\approx8.062 \end{gathered}$

Rounding to the nearest tenth

So, the answer is the length of the third side = 8.1

3 0

10 months ago