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babunello [35]
3 years ago
13

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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umka2103 [35]

Answer:

Step-by-step explanation:

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5 0
3 years ago
Select "ALL" statements that correctly describe the graph!!
larisa86 [58]

Answer:

  • The slope is 1/2
  • The equation that represents this function is x -2y = 2

Step-by-step explanation:

<em>Intercepts</em>

The table shows the x-intercept to be (2, 0), and the y-intercept to be (0, -1). These are not matched by any of the answer choices.

<em>Slope</em>

The slope is ...

  slope = (change in y)/(change in x) = (0 -(-1))/(2 -0) = 1/2

<em>Equation</em>

You can choose the equation by seeing if it works for a couple of points. You know the last equation is incorrect, because that slope-intercept form has the y-intercept as +1, not -1.

6 0
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

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

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

Thus

discontinuity at (- 4, - 11 ), zero at ( \frac{3}{2}, 0 )

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
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