All categories

2 years ago

2x-y=10 y=-4x+2 substitution method

Mathematics

1 answer:

AlladinOne [14]2 years ago

5 0

Answer:

the solution is (2, -6)

Step-by-step explanation:

Substitute the second equation into the first, replacing y in the first:

2x - (-4x+2) = 10

Simplifying, we get:

2x + 4x - 2 = 10, or:

6x = 12, which yields x = 2.

Substituting 2 for x in the second equation yields y = -4(2) + 2 = 0, or y = -6

Then the solution is (2, -6).

You might be interested in

Which is greater? -4.84 or -8.48

velikii [3]

Answer:

-4.84

Step-by-step explanation:

the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater

4 0

2 years ago

Read 2 more answers

Choose the equation that represents the line passing through the point (2, -5) with a slope of -3.

chubhunter [2.5K]

Your answer is D.) y = -3x + 1

7 0

3 years ago

Read 2 more answers

How do you solve the equation -7/8k=21

loris [4]

$- \frac{7}{8} k$ = 21

First, simplify $\frac{7}{8} k$ to $\frac{7k}{8}$ / Your problem should look like: $-\frac{7k}{8}$ = 21
Second, multiply both sides by 8. / Your problem should look like: -7k = 167
Third, divide both sides by -7. / Your problem should look like: k = $\frac{168}{-7}$
Fourth, simplify $\frac{168}{-7}$ to $\frac{168}{7}$ / Your problem should look like: k = $- \frac{168}{7}$
Fifth, simplify $\frac{168}{7}$ to 24. / Your problem should look like: k = -24

Answer: k = -24

4 0

3 years ago

A new park was designed to contain two circular gardens. Garden A has a diameter of 50 m, and garden B has a diameter of 70 m. T

Nastasia [14]

Answer:

$5,811.95\ m^2$ of fabric.

Step-by-step explanation:

-The amount of fabric needed is equivalent to the area of the two gardens.

-We calculate the combined areas as:

$A=A_s+A_b\\\\=\pi r^2+\pi R^2\\\\=\pi(25^2+35^2)\\\\=1850\pi \ m^2\\\\=5811.95\ m^2$

Hence, 5811.95 sq meters of fabric will be needed to cover the area of both gardens.

5 0

3 years ago

determine os valores de x e y sabendo que os numeros x,6 e 27 sao diramente proporcionais aos numeros 2, y e 18 nessa ordem

bazaltina [42]

Answer:

x=3 e y=4

Step-by-step explanation:

x/2=6/y=27/18

...

x/2=27/18

18.x=2.(27)

18x=54

x=54/18

x= 3

...

6/y=27/18

27y=6.(18)

27y=108

y=108/27

y=4

3 0

3 years ago