1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nadezda [96]
3 years ago
11

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

t to y from the second equation is substituted into the first equation. 2x − 7y = 4 3x + y = −17
Mathematics
1 answer:
Vlad [161]3 years ago
4 0
The simultaneous equations are
2x - 7y = 4         (1)
3x + y = -17       (2)

Write (2) as
y = - 3x - 17       (3)

Substitute (3) into (1).
2x - 7(-3x - 17) = 4
2x + 21x + 119 = 4
23x = -115
x = -5
This is the equation obtained after substituting y from the second equation into the first equation.
The solution for y is
y = -3(-5) - 17 = -2

Answer: x = -5

Note: The solution is x = -5,  y = -2.
You might be interested in
Help please! I’ll give brainliest too!
DIA [1.3K]

Answer:

y-intercept: -5

Slope: 4

Equation: y = 4x - 5

Step-by-step explanation:

✔️The y-intercept is the value of y when x = 0. From the table of values, it shows that when x = 0, y = -5. Therefore:

y-intercept (b) = -5

✔️using two pairs from the table, (1, -1) and (2, 3):

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 -(-1)}{2 - 1} = \frac{4}{1} = 4

Slope = 4

✔️To write an equation for the function, substitute m = 4, and b = -5 into y = mx + b.

Thus:

y = 4x +(-5)

y = 4x - 5

7 0
3 years ago
Drake buys a ring that costs $8,000, which depreciates at a rate of 9.5% per year.
Alex73 [517]

Answer:

$1129.93

Step-by-step explanation:

100 - 9.5 = 90.5

8000 - 90.5 = 7909.5

7909.5 ÷ 7 = 1129.93

i hope this helps

4 0
2 years ago
A farmer has 220 bushels of wheat to sell it has roadside stand he sells an average of 14 and three-quarter bushels each day rep
REY [17]

Answer:

Total change in Sales of Bushels =116\frac{3}{4}

Step-by-step explanation:

Total Bushels of Wheat= 220

Average Sale= 14*\frac{3}{4} per day

Average Sale per week =7*14.75 =103.25

Total change in Sales of Bushels = Total Bushels of Wheat - Average Sales per week

Total change in Sales of Bushels= 220- 103.25 = 116*\frac{3}{4}

8 0
3 years ago
A line has a slope of 3, is increasing, and passes through the point (2,7). What is its y-intercept?
Anna71 [15]
The y-intercept is 1
3 0
3 years ago
Read 2 more answers
At a bake sale there were 90 items sold total. If 42 of the items sold were cookies and the rest were brownies what is the ratio
kari74 [83]
Firstly, you do 90 - 42 to get the amount of brownies sold, which is 48. Then, you put 42 and 48 into a ratio like 42:48. After that, all you need to do is simplify to get 7:8.
5 0
3 years ago
Other questions:
  • The line 6x – 3y = 24 represents Shari's distance from home, y in blocks, on her run across town over time, x, in minutes. What
    7·2 answers
  • Find the tan of ∠T
    8·1 answer
  • HELP ASAP ! TEST! The scatterplot shows the energy in watts and the light output in lumens per watt of several lightbulbs. Which
    5·1 answer
  • -9x+2>18 and 13x+15<=-4
    6·2 answers
  • The area of a rectangle is 21 in2. The length of the rectangle is 6 in.
    8·2 answers
  • A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.
    6·2 answers
  • Kevin is taking a taxi from the airport to his home. There is a $6 fee for riding in the taxi. In
    15·2 answers
  • HELP ILL GIVE BRAINLYEST!
    6·2 answers
  • Can someone please help me, this is the last question on my test and I dont understand. please and thanks.
    11·2 answers
  • PLEASE HELP WITH THIS AND SHOW WORK.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!