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UkoKoshka [18]
3 years ago
10

Solve the system of equations using the substitution method. -5x − 3y = 16 y = x

Mathematics
2 answers:
Elena-2011 [213]3 years ago
6 0

Answer:

(-2, -2)

Step-by-step explanation:

Make use of the 2nd equation to eliminate x or y in the 1st equation:

-5x - 3(x) = 16

Then -8x = 16, and x = -2.  Since we are told that y = x, y = -2.

The solution is (-2, -2).

max2010maxim [7]3 years ago
3 0

Answer:

-5x - 3x = 16

-8x = 16

x = -2

y = x

Step-by-step explanation:

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Which equations can be used to find the lengths of the
Murrr4er [49]

Answer:

0.5(x)(x + 2) = 24 (A)

x² + 2x – 48 = 0 (D)

x² + (x + 2)² = 100 (E)

Question:

A question related to this found at brainly (ID:4482275) is stated below.

The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the triangle? Check all that apply.

0.5(x)(x + 2) = 24

x(x + 2) = 24

x2 + 2x – 24 = 0

x2 + 2x – 48 = 0

x2 + (x + 2)2 = 24

Step-by-step explanation:

Find attached the diagram.

Area of triangle = ½ × base × height

= 0.5×b×h

base= x ft

Height = (x+2) ft

Area = 24ft²

24 = 0.5(x)(x+2)

0.5(x)(x + 2) = 24 (A)

The equations that can be used to find the lengths of the legs of the triangle must be equivalent to 0.5(x)(x + 2) = 24

On expanding this: 0.5(x)(x + 2) = 24

0.5(x²+2x) = 24

b) x(x + 2) = 24

x(x + 2) is not equal to 0.5(x²+2x)

c) x² + 2x – 24 = 0

0.5(x²+2x) = 24

0.5x²+x - 24 = 0 is not equal to x²+2x- 24 = 0

d) x² + 2x – 48 = 0

0.5(x)(x + 2) = 24

½(x)(x + 2) = 24

x² + 2x = 2(24)

x² + 2x – 48 = 0

Correct option (D)

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x = 96

2(x² + 2x +48)= 0

x² + 2x +48 = 0 is equal to 0.5(x²+2x) = 24

Correct (E)

4 0
3 years ago
to go to the beach adiyah drives 4 times as many as jacob adiyah drives 20 miles how many miles does jacob drive?
Mila [183]

20/4 = 5

Jacob drives 5 miles

5 * 4 = 20

7 0
3 years ago
Read 2 more answers
Identify an equation in slope-intercept form for the line parallel to y=-3x+7
Anit [1.1K]

Answer:

y + 4 = -3(x -2)

Step-by-step explanation:

A line parallel to y = -3x + 7 also has a slope of -3.

Use the point-slope formula:

y - k = m(x - h)

Inserting the given info, we get:

y + 4 = -3(x -2)

3 0
3 years ago
It cost 5 dollars for a child ticket and 8 dollars for a adult ticket. Total tickets sold were 110 bringing in 820 dollars? How
omeli [17]

Number of child tickets bought is 20

<h3><u>Solution:</u></h3>

Given that It cost 5 dollars for a child ticket and 8 dollars for a adult ticket

cost of each child ticket = 5 dollars

cost of each adult ticket = 8 dollars

Let "c" be the number of child tickets bought

Let "a" be the number of adult tickets bought

Total tickets sold were 110 bringing in 820 dollars

<em>Number of child tickets bought + number of adult tickets bought = 110</em>

c + a = 110 ----- eqn 1

<em><u>Also we can frame a equation as:</u></em>

Number of child tickets bought x cost of each child ticket + number of adult tickets bought x cost of each adult ticket = 820

c \times 5 + a \times 8 = 820

5c + 8a = 820 -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "c" and "a"

From eqn 1,

a = 110 - c  ------ eqn 3

Substitute eqn 3 in eqn 2

5c + 8(110 - c) = 820

5c + 880 - 8c = 820

-3c = - 60

c = 20

Therefore from eqn 3,

a = 110 - 20 = 90

a = 90

Therefore number of child tickets bought is 20

8 0
3 years ago
During the school year or each student planted 2 * 10^2 trees as part of a community service project. If there are 3.5 * 10^3 st
Nookie1986 [14]

Total 7*10^5 trees were planted.

Further explanation:

The product of both quantities will give us the total number of trees planted by the students for the community project.

So,

Given

Trees\ planted\ by\ each\ student=2*10^2\\Total\ students\ in\ school=3.5*10^3\\Total\ trees\ planted= (2*10^2)*(3.5*10^3)\\= 7*10^5\ trees

So, total 7*10^5 trees were planted.

Keywords: Product, exponents

Learn more about product and exponents at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

4 0
3 years ago
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