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3 years ago

Solve the system by substitution. x + 6y = -2 -x= 3y - 10

Mathematics

1 answer:

TiliK225 [7]3 years ago

5 0

Answer:

x = 22, y = -4

Step-by-step explanation:

x + 6y = -2 --- Equation 1

-x = 3y - 10 --- Equation 2

Equation 2 ×(-1): x = -3y + 10 --- Equation 3

Substitute x = -3y + 10 into Equation 1:

x + 6y = -2

-3y + 10 + 6y = -2

3y + 10 = -2

3y = -2-10

= -12

y = -12 ÷ 3

y = -4

Substitute y = -4 into Equation 3:

x = -3y + 10

x = -3(-4) + 10

= 12 + 10

x = 22

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2x+7y=11 is (-5,3) on the graph

Lelu [443]

Step-by-step explanation:

The given equation is :

2x+7y=11

We need to tell the point (-5,3) lies on the graph of the above equation of not.

Put x = -5 and y = 3 in the LHS of the above equation.

LHS = 2x+7y

= 2(-5)+7(3)

= -10 +21

= 11

It means, when we put x = -5 and y = 3 in the above equation, we get 11. Hence, (-5,3) lies on the graph of the equation.

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3 years ago

A rectangular flower garden in Samantha's backyard has 220 feet around its edge. The width of the garden is 50 feet. What is the

Ede4ka [16]

Answer: 60 ft

Step-by-step explanation:

Given

The perimeter of the garden is $220\ ft$

The width of the garden is $50\ ft$

Suppose the length of the garden is $x$

Perimeter is the sum of the lengths of the sides

$\Rightarrow 220=2(x+50)\\\Rightarrow 110=x+50\\\Rightarrow x=60\ ft$

So, the length of the garden is $60\ ft$

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3 years ago

3(x+2)=2(x+5) i really need help

Ivan

Answer:

x=4

Step-by-step explanation:

3(x+2)=2(x+5)

opening brackets

3x+6=2x+10

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4 years ago

Read 2 more answers

A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from th

kati45 [8]

Answer:

Solution given:

perpendicular distance =height [p]=40m

base or horizontal distance [b]=198m

Hypotenuse or zip line [h]=?

Now

By using Pythagoras law

h²=p²+b²

h²=40²+198²

h=√40804

h=202m

<u>So the Zip line is 202m long.</u>

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3 years ago

Use the graph to find the solutions of –1/2 x^2 – x + 4 = 0.

lora16 [44]

Answer:

For the problems presented, the following are the answers:

1. No graph is provided, sorry.

2. 2, 1/2

3. 12m

4. 30

5. 1.1, 9.1

6. 10.35, 1.35

22. -6, 2

Step-by-step explanation:

Please mark me brainliest if my answer is correct thank you and have a nice day

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3 years ago