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
Nitella [24]
3 years ago
10

write a system of linear equations that has only one solution. solve the system of equations in two ways.

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0
X + 5y = 1 . . . . (1)
8x - 2y = 3 . . . .(2)
Solution 1.
From (1), x = 1 - 5y
substituting for x in (2), we have:
8(1 - 5y) - 2y = 3
8 - 40y - 2y = 3
8 - 42y = 3
42y = 5
y = 5/42
x = 1 - 5(5/42) = 1 - 25/42 = 17/42.

Solution 2.
Multiply (1) by 8, to get:
8x + 40y = 8 . . . . . (3)
(3) - (2) = 40y - (-2y) = 8 - 3
42y = 5
y = 5/42
substitute for y into (3), to get:
8x + 40(5/42) = 8
8x + 100/21 = 8
8x = 8 - 100/21 = 68/21
x = (68/21)/8 = 17/42
You might be interested in
A committee of 5 people is to be chosen from a group of 6 men and 4 women. 262 committees are possible if there are no restricti
nasty-shy [4]

Oh whats that thiers something called a calculator

3 0
3 years ago
Which point does the graph of the parent function Y=tan(x) pass through?
zvonat [6]

Answer:

(0, 0)

Step-by-step explanation:

The graph of y = tan x passes through the origin, (0, 0).

7 0
3 years ago
Read 2 more answers
Kunal told Ana he was going to drop 10 dimes on the table. He said he would give her all the dimes where the "head" side was sho
sweet-ann [11.9K]

Answer:

10

Step-by-step explanation:

4 0
2 years ago
3x-4y=-5 y=4x-2 Is (1,2) a solution of the system?
Orlov [11]
If you want to check if (1,2) is a solution to the system, you have to plug the x and y values back into both equations. If they work for one equation, but not the other, than the coordinates are not a solution to the system.

3(1) - 4(2) = -5
3 - 8 = -5
-5 = -5 

2 = 4(1) - 2
2 = 4 - 2 
2 = 2

Since both of these checks are true, then (1,2) is a solution to the system.
7 0
3 years ago
Joe has 45 minutes before baseball practice he spends 10 minutes changing 10 minutes eating and rest of the time doing his homew
mihalych1998 [28]
45=10+h.......................
4 0
3 years ago
Read 2 more answers
Other questions:
  • To celebrate his soccer team's last game of the season, Grayson is making 4 batches of
    12·1 answer
  • I will mark you brainliest :) Use Euler's Formula to find the number of vertices in the given polyhedron.
    11·2 answers
  • If I put 1500 into my savings account and earned $180.00 of interest at 4% simple interest, how long was my money in the bank?
    8·1 answer
  • The algenuts base ball team just finished a greag year during the season they won three out of every four of there home games an
    15·1 answer
  • Plz show work and explain
    5·1 answer
  • Help plz... give you brainliest for who ever answers, plz need help.
    12·2 answers
  • What is the radius of a sphere with a volume of 384\text{ ft}^3,384 ft
    12·1 answer
  • Sally is selling two types of seashells by the seashore. She is selling large and small shells. She sells small shells for 2 dol
    13·1 answer
  • Given:<br> RS = 3x - 16<br> ST = 4x - 8<br> RT = 60<br> Solve for RS.
    12·1 answer
  • PLZZ HELP ME WORTH 35 POINTS
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!