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vredina [299]
3 years ago
5

6x+6y=-6, 5x+y=-13Show your process pleaseSolve the linear equation​

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer: Rewrite equations:

5x+y=−13;6x+6y=−6

Step: Solve5x+y=−13for y:

5x+y=−13

5x+y+−5x=−13+−5x(Add -5x to both sides)

y=−5x−13

Step: Substitute−5x−13foryin6x+6y=−6:

6x+6y=−6

6x+6(−5x−13)=−6

−24x−78=−6(Simplify both sides of the equation)

−24x−78+78=−6+78(Add 78 to both sides)

−24x=72

−24x

−24

=

72

−24

(Divide both sides by -24)

x=−3

Step: Substitute−3forxiny=−5x−13:

y=−5x−13

y=(−5)(−3)−13

y=2(Simplify both sides of the equation)

Answer:

x=−3 and y=2

Step-by-step explanation:

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The cost of putting in automatic sprinklers for a lawn largely depends upon the length of Poole that must be laid. The controlle
OLga [1]

Answer:

c(F) = 135 + 2.5F

Step-by-step explanation:

We are given the following in the question:

Controller cost = $135

System cost = $2.50 per foot of pipeline

The total cost depends upon the length of Pole.

Let the system requires F feet of pipeline.

Total cost will be given by the equation:

c(F) = \text{Controller cost + System cost(Feet of pipeline required)}\\c(F) = 135 + 2.5F

is the required expression for total cost

F: feet of pipeline required

c(F): Total cost of installation

5 0
3 years ago
In rhombus ABCD, the diagonals AC and BDintersect at E. If AE=5 and BE=12, what is thelength of AB?
hram777 [196]

Diagonals that bisect each other are perpendicular and form a right angle.

AEB is a right triangle.

We can apply the Pythagorean theorem:

c^2 = a^2+b^2

Where c is the hypotenuse (longest side) and a and b the other 2 legs.

Replacing:

AB^2 = AE^2+BE^2

AB^2 = 5^2+12^2

AB^2 = 25+144

AB^2 = 169

AB=√169 = 13

Lenght of AB= 13

8 0
1 year ago
Which answer is a reasonable estimate to the following problem? 94 · 689
tino4ka555 [31]
94x689=64,766
if you round it to the nearest ten you get 90x690=62100
62100 is closer to 60,000 than it is to 70,000.
so you would round it down to 60,000.

8 0
3 years ago
|x-8|&lt;13<br> What is the solution
maks197457 [2]

Answer:

  • x = (-5, 21)

Step-by-step explanation:

  • |x - 8| < 13

1 .

  • x - 8 < 13
  • x < 8 + 13
  • x < 21

2.

  • x - 8 > -13
  • x > 8 - 13
  • x > -5

<u>Combined answer</u>

  • -5 < x < 21
  • x = (-5, 21)
5 0
3 years ago
Can someone help me with this and have it step by step please
Sladkaya [172]

Answer:

should also be 40

Step-by-step explanation:

the measure of angle 1 is equivelent to angle two, since they both lie ont he same line.

8 0
3 years ago
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