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
ch4aika [34]
3 years ago
12

Which linear equations have an infinite number of solutions? Check all that apply.

Mathematics
2 answers:
ladessa [460]3 years ago
8 0

Answer:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.

For example:

2 = 2 or x = x or 0 = 0

Solving the question above:

Which linear equations have an infinite number of solutions? Check all that apply.

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

x - 3/7 = 6x/6 - 18/42

x - 3/7 = x - 3/7

Collect like terms

x - x = -3/7 + 3/7

0 = 0

The linear equation in option a has an infinite number of solutions

b) 8(x + 2) = 5x – 14

8x + 16 = 5x - 14

Collect like terms

8x - 5x = -14 - 16

3x = -30

x = -30/3

x = -10.

The linear equation in Option b has a true solution.

c) 12.3x – 18 = 3(–6 + 4.1x)

12.3x - 18 = -18 + 12.3x

Collect like terms

12.3x - 12.3x = -18 + 18

0 = 0

The linear equation in Option c has infinite number of solutions

d) 1\2(6x + 10) = 7(3\7x – 2)

6x/2 + 5 = 21/7x - 14

3x + 5 = 3x - 14

Collect like terms

3x - 3x = -14 - 5

0 = -19

The linear equation Option d has no solution

e) 4.2x – 3.5 = 2.1 (5x + 8)

4.2x - 3.5 = 10.5x + 16.8

Collect like terms

4.2x - 10.5x = 16.8 + 3.5

-6.3x = 20.3

x = -20.3/6.3

x = -3.22

Hence, the linear equation in Option e has a true solution

Therefore, the linear equations have an infinite number of solutions are:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Alex3 years ago
5 0

Answer(x – 3\7) = 2\3 (3\2x – 9\14 ) and (12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

You might be interested in
Help me Solve 1/6 ÷ 2/6 please
pochemuha
\frac{1}{6} ÷ \frac{2}{6}

First, apply this following rule: a ÷ \frac{b}{x} = a × \frac{c}{b}
\frac{1}{6} × \frac{6}{2}
Second, apply this following rule: \frac{a}{b} × \frac{c}{d} =  \frac{ac}{bd}
\frac{1x6}{6x2}
Third, multiply 1 × 6 to get 6 and 6 × 2 to get 12.
\frac{6}{12}
Fourth, find the GCF of 6 and 12. 
Factors of 6: 1, 2, 3, 6
Factors of 12: 1, 2, 3, 4, 6, 12
The GCF is 6.
Fifth, divide the numerator by the GCF.
6 ÷ 6 = 1
Sixth, divide the denominator by the GCF.
12 ÷ 6 = 2
Seventh, collect the new numerator and new denominator.
\frac{1}{2}

Answer as fraction: \frac{1}{2}
Answer as decimal: 0.5

8 0
3 years ago
What is y=2x? (its in the mathematics Georgia book)
skelet666 [1.2K]
The answer would be X=1/2y
3 0
3 years ago
Complete the equation describing how x and y are related.
Sav [38]

Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

5 0
2 years ago
Please help, I need it soon.
nadya68 [22]
Answer is : 8v^3+ 14v^2+11v+3
For cubic feet

Solution

Formula : volume base area x height

So base area = 4v^2 +5v+3
Height = 2v+1


So multiply

Volume =(4v^2+5v+3) x(2v+ 1)

The rest is below



7 0
2 years ago
PLS HELP ME I ONLY HAVE 5 MINUTES PLS
Viefleur [7K]

Answer: 71 ft

i hope its the right answeer, do well

3 0
2 years ago
Other questions:
  • Write the algebraic expression that is the model of 3 boxes labeled x, 2 boxes labeled y and 4 boxes without a label
    6·1 answer
  • death valley has an elevation of -282 feet to relative to sea level.Explain how to use absolute value to describe the elevation
    14·1 answer
  • The bottom two questions that correspond to the word problem... I don't get it
    8·1 answer
  • Pls help ill give brainiest
    14·1 answer
  • (3,-2), (-3,-2), (1,4), (-6,5), (1,3), (-20, 7)}<br> Domain :<br> Range:
    12·1 answer
  • What are the coordinates of the two points on the line? Select all that apply.
    11·1 answer
  • How many miles does he have to run each day ( if he runs the same amount everyday) and has 31 days to get 217 miles?
    10·1 answer
  • Use the Exterior Angle Inequality Theorem to list all of the angles that measure less than the measure of Angle 1
    8·1 answer
  • PLEASE HELP ME DEAR GOD<br> Find the solution to the system of equations.
    14·2 answers
  • Help if you can:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!