MATHEMATICS HIGH SCHOOL

A system of equations is shown below:y = 8x − 2
y = 9x − 7

What is the solution to the system of equations?

(−5, 38)
(−5, −38)
(5, 38)
(5, −38)

Answers

Answer 1
Answer: y = 8x - 2
y = 9x - 7

  8x - 2 = 9x - 7
- 8x       - 8x
        -2 = x - 7
      + 7      + 7
         5 = x

y = 8x -2
y = 8(5) - 2
y = 40 - 2
y = 38
(x, y) = (5, 38)

The answer is C.
Answer 2
Answer:

Answer would be C (5, 38)

Related Questions

Allison practices her violin for at least 12 hours per week she practices for three fourths of an hour each session if Allison has already practiced 3 hours this week how many more sessions remains for her to meet or exceed her weekly practice goals.
Solve the equation sin^2x= 3 cos^2x. The value of x that satisfies the equation if x lies in the second quadrant is what degrees? The value of x that satisfies the equation if x lies in the third quadrant is what degrees? ​
Solve the equation.24 – 3x = 2x – 1 A. x = 4 B. x = 5 C. x = 6 D. x = 25
Please help me, I really need help. I will mark brainliest answer!! A bald eagle can eat 3.85 kilograms of fish in a week. The eagle eats the same amount each day. How many grams of fish will the eagle eat in a day?
A square and a rectangle have the same area. The length of the rectangle is twelve more than twice times the side of the square. The width of the rectangle is eight less than the side of the square. Let x be the length of the side of the square. Using the information above, what is the value of x?

Sara travels twice as far as Eli when going to camp. Ashley travels as far as Sara and Eli together. Hazel travels 3 times as far as Sara. In total, all 4 travel a total of 888 miles to camp. How far do each of them travel?

Answers

Eli travels 74 miles

Sara travels 148 miles

Ashley travels 222 miles

Hazel travels 444 miles

Further explanation

Simultaneous Linear Equations could be solved by using several methods such as :

  • Elimination Method
  • Substitution Method
  • Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

Let :

Sara's Distance = s

Eli's Distance = e

Ashely's Distance = a

Hazel's Distance = h

Sara travels twice as far as Eli when going to camp.

s = 2e

Ashley travels as far as Sara and Eli together.

a = s + e = 2e + e = 3e

Hazel travels 3 times as far as Sara.

h = 3s = 3(2e) = 6e

In total, all 4 travel a total of 888 miles to camp.

s + a + h + e = 888

2e + 3e + 6e + e = 888

(2 + 3 + 6 + 1)e = 888

12e = 888

e = 888 / 12

e = \boxed {74 ~ \texttt{miles}}

s = 2e = 2(74) = \boxed {148 ~ \texttt{miles}}

a = 3e = 3(74) = \boxed {222 ~ \texttt{miles}}

h = 6e = 6(74) = \boxed {444 ~ \texttt{miles}}

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations
Eli travels the shortest distance, so she'll be the main letter for algebra. She can be 'e'.
Sara travels twice as far, so her distance is 2e.
Ashley travels Sara and Eli, so 2e + e, or 3e
Hazel travels 3 times Sara, so 2e * 3, or 6e. Together they all travel 888 miles.
So e + 2e + 3e + 6e = 888
Simply, 12e = 888
Therefore, e = 888/12, or 74
So Eli travels 1*74 (74) miles
Sara travels 2*74 (148) miles
Ashley travels 3*74 (222) miles
Hazel travels 6*74 (444) miles

a jar containing only nickels an dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. What is the number of nickels and dimes in the jar?

Answers

Answer:

31 nickels and 29 dimes

Step-by-step explanation:

Which number satisfies the inequality 9h + 15 > 55?

Answers


When you say "Which number ...", I expect to see a list of choices at the
end of the question, and I get very upset when there's nothing there.

                                            9h + 15 > 55

Subtract  15  from each side:          9h > 40

Divide each side by  9 :                    h > 40/9

Any number greater than (4 and 4/9) satisfies the inequality.
9h + 15 > 55
      - 15 - 15
         9h > 40
          9      9
           h > 4⁴/₉

The solution set is equal to (4⁴/₉, ∞).

(a + 2b + 3c) − (4a + 6b − 5c) is equivalent to?
Can you please explain with some details?

Answers

The solution of the given expression will be -3a - 4b + 8c.'

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (a + 2b + 3c) − (4a + 6b − 5c). The expression will be solved as below,

E = (a + 2b + 3 c) - (4a + 6b - 5c)

E = a + 2b + 3c - 4a - 6b + 5c =

E = -3a - 4b + 8c

Therefore, the expression will have the solution (a + 2b + 3c) − (4a + 6b − 5c).

To know more about an expression follow

brainly.com/question/73112

#SPJ2
(a + 2b + 3 c) - (4a + 6b - 5c) =

= a + 2b + 3c - 4a - 6b + 5c =

= -3a - 4b + 8c

if the measure of angle one is "two-x minus nine" and the measure of angle two is "twenty seven minus four-x", solve for x.

Answers

7x-9=27-4x\n\n7x+4x=27+9\n\n11x=36\ \ \ \ /:11\n\nx=(36)/(11)\n\nx=3(3)/(11)

Complete the proportion: 7/11 = ?/121

Answers

7 x *cross multiply
-- = --
11 121
11x 847 *divide
--- = -----
11 11
x = 77
Other Questions
What is y? Enter your answer in the box
I need to know the step by step working to get the answer 18
Find the product of (x − 3)2.
Find the mindpoint of ab a(-3,7) and b(-7,-6)