All categories

3 years ago

Solve by substitution -4x-2y=-12 4x+8y=-24

Mathematics

1 answer:

kykrilka [37]3 years ago

5 0

I hope this helps you

-4x-2y+4x+8y= -12-24

6y= -36

y= -6

-4x-2. (-6)= -12

-4x+12= -12

-4x= -24

x=6

(6, -6)

You might be interested in

Find the mean of the given data set: (12, 2, 6, 3, 3, 19)

Savatey [412]

Answer:

Step-by-step explanation:

hope this helps you

4 0

3 years ago

Read 2 more answers

a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in

damaskus [11]

the area of the piece of land that is not part of the garden is $28,486ft^2$ .

<u>Step-by-step explanation:</u>

Here we have , a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in diameter. We need to find what is the area of the piece of land that is not part of the garden . Let's find out:

Let's calculate area of land and circular garden , and in order to find the area of the piece of land that is not part of the garden we will subtract area of circular garden from land !

Area of Land:

Area of land is given by

⇒ $length(width)$

⇒ $120(240)$

⇒ $28,880ft^2$

Area of Garden:

Area of circular garden given by

⇒ $\pi r^2$

⇒ $\pi (\frac{D}{2})^2$

⇒ $\pi (\frac{20}{2})^2$

⇒ $\pi (10)^2$

⇒ $100\pi$

⇒ $100(3.14)$

⇒ $314ft^2$

Hence , the area of the piece of land that is not part of the garden is 28,880-314 = 28,486 . Therefore , the area of the piece of land that is not part of the garden is $28,486ft^2$ .

8 0

3 years ago

Solve for x: -2x - 5 = 4

Nata [24]

Answer:

x=−20

Step-by-step explanation:

Step by Step Solution:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/5-(-4)=0

Step by step solution :

STEP

Simplify —

Equation at the end of step

— - -4 = 0

STEP

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

-4 -4 • 5

-4 = —— = ——————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (-4 • 5) x + 20

———————————— = ——————

5 5

Equation at the end of step

x + 20

—————— = 0

STEP

When a fraction equals zero

3.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x+20

———— • 5 = 0 • 5

Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x+20 = 0

Solving a Single Variable Equation:

3.2 Solve : x+20 = 0

Subtract 20 from both sides of the equation :

x = -20

One solution was found :

x = -20

8 0

3 years ago

Read 2 more answers

Plz help asap!!!! Systems of equations answer #2 and #3

Tresset [83]

Answer:

rule add 15 subtract 10

Step-by-step explanation:

rule add 15 subtract 10. rule add 15 subtract 16

4 0

2 years ago

In the figure, qj= 2x+100 and sj=6x+52 what is sj ?

Phoenix [80]

Answer:

124

Step-by-step explanation:

2x+100=6x+52

solve for variable x = 12

plug it in

2(12)+100

sj= 124

5 0

3 years ago