All categories

3 years ago

Solve the system by substitution. x – 4y = -8 5у – 1 = x Submit Answer

Mathematics

2 answers:

Vikki [24]3 years ago

7 0

Answer:

y = -7 and x = -36

Step-by-step explanation:

x - 4y = -8

5y - 1 = x

→ Substitute 5y - 1 into x - 4y = -8

5y - 1 - 4y = -8

→ Simplify

y - 1 = -8

→ Add 1 to both sides

y = -7

→ Substitute y = -7 into 5y - 1

( 5 × -7 ) - 1 = -36

S_A_V [24]3 years ago

5 0

Answer:

The solution is (-36, -7)

Step-by-step explanation:

Since 5y - 1 = x, we can replace x in the first equation by 5y - 1:

5y - 1 - 4y = -8

Collecting like terms, we get:

y = -7

If y = 7, then by the second equation x = 5(-7) - 1 = -36

The solution is (-36, -7)

You might be interested in

A triangle is 3 units wide and 5 units high.

Oksana_A [137]

Answer:

b=3 units

h=5 units

a=7.5 units

Step-by-step explanation:

i thnk u can figure this out

8 0

3 years ago

Read 2 more answers

I need help with this equation please!<br><br> 15- w/4 = 28

Luda [366]

Answer:

w= -52

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand

15-w/4=28

Simplifying:

15-0.25w=28

We move all terms containing w to the left and all other terms to the right.

-0.25w=+28-15

We simplify left and right side of the equation.

-0.25w=+13

We divide both sides of the equation by -0.25 to get w.

w= -52

Hope it Helps :) !!

8 0

3 years ago

The diameter of a circle is 7 cm. Find the circumference to the nearest tenth

Anton [14]

Answer:38.5 cm

Step-by-step explanation:To find the radius divide 7 by 2 which is 3.52. Then multiply 3.5 by itself which is 12.253.

3 0

2 years ago

reasoning: if you know that 9 x 20 = 180, how can you use this to find 9 x 24? explain your strategy.

Lostsunrise [7]

9 * 20 = 180

24 has 4 more than that, so multiply 9 to 4 and add it to 180.

9 * 4 = 36

180 + 36 = 216

So 9 * 24 = 216

4 0

2 years ago

Read 2 more answers

A figure is composed of a rectangle and a right triangle. What is the area of the figure?

strojnjashka [21]

QUESTION 1

The figure is a tra-pezoid.

The area of a trapezoid is given by the formula;

$A=\frac{1}{2}(Sum\:of\:parallel\:sides)\times h$

We substitute the values to obtain;

$Area=\frac{1}{2}(13.2cm+8.4cm)\times 6cm$

$Area=\frac{1}{2}(21.6cm)\times 6cm$

$Area=64.8cm^2$

QUESTION 2

The approximate length of the ribbon is equal to the circumference of the circular table cloth.

We can find this by using the formula for calculating the circumference of a circle.

$C=2\pi r$

where $r=3.5ft$ is the radius of the circular table cloth.

We substitute this value and $\pi=3.14$ into the formula to get;

$C=2(3.14)(3.5)ft$

$C=21.98ft$

The approximate length of the ribbon is 22.0ft to the nearest tenth.

QUESTION 3

Type of quadrilateral:Rectangle

Explanation: A rectangle has 4 angles that are right angles.

The two pairs of opposite sides of a rectangle are also congruent.

QUESTION 4.

The circumference of a semi circle is calculated using the formula;

$C=\pi r$

where $r=12.5cm$ is the radius of the semicircle.

$C=3.14\times 12.5cm$

$C=39.25cm$

QUESTION 5

The area of the entire figure is the area of the semicircle plus the area of the isosceles triangle.

$Area=\frac{1}{2}\pi r^2+\frac{1}{2}bh$

$Area=\frac{1}{2}\times3.14\times12.5^2+\frac{1}{2}\times25\times 24$

$Area=345.3125+300$

$Area=645.3125cm^2$

$Area\approx645cm^2$

QUESTION 6

The area of the parallelogram is given by the formula;

$A=bh$

From the diagram, $b=y\:in.,h=3in.$ .

Given, A=23.7 inches squared.

We substitute the values to obtain;

$23.7=3y$

$y=\frac{23.7}{3}$

$y=7.9in.$

QUESTION 7

The area of a rectangle is given by the formula;

$Area=l\times b$

The area of the bigger rectangle $=9\times15=135in^2$

The area of the smaller rectangle $=8\times 13=104in^2$

The area of the shaded region $=135-104=31in^2$

5 0

3 years ago