Mathematics High School

6. Solve the following pairs of simultaneous equations.
3x + y = 2
4x + 3y = 3​

Answers

Answer 1

Answer:

(3/5, 1/5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations using graphing

Step-by-step explanation:

Step 1: Define systems

3x + y = 2

4x + 3y = 3

Step 2: Rewrite systems

y = 2 - 3x

4x + 3y = 3

Step 3: Solve for x

Substitute in y:                    4x + 3(2 - 3x) = 3Distribute 3:                         4x + 6 - 9x = 3Combine like terms:           -5x + 6 = 3Isolate x term:                     -5x = -3Isolate x:                              x = 3/5

Step 4: Solve for y

Define original equation:                  3x + y = 2Substitute in x:                                   3(3/5) + y = 2Multiply:                                              9/5 + y = 2Isolate y:                                             y = 1/5

Step 5: Check

Graph the systems of equations.

6. Solve The Following Pairs Of Simultaneous Equations.3x + Y = 24x + 3y = 3
Answer 2

Answer:

x = 3/5, y = 1/5

Step-by-step explanation:

Starting with:

3x + y = 2

4x + 3y = 3

Multiplying the first equation by -3:

-9x - 3y = -6

4x + 3y = 3

Adding the equations:

-5x = -3

Simplifying:

x = 3/5

Substituting x = 3/5 into the first equation:

9/5 + y = 2

Subtracting:

y = 1/5

Related Questions

0.0833333333333333333333333333 as a fraction?

Answers

Answer:

1/12

Step-by-step explanation:

Convert to a simplified fraction.

Answer:

83/1000

Step-by-step explanation:

192=3943

How can you write the expression 7(b-2) in words?
OA
two subtracted from the quotient of seven divided by b
ОВ,
seven added to difference of b minus two
OC. the quotient of seven divided by b minus two
OD
two subtracted from seven times b
O E, the product of seven and the difference of b minus two

Answers

Answer:

E (The product of seven and the difference of b minus two)

Step-by-step explanation:

on a recent homework assignment, Eli needed to solve the equation d^2 = 49. He icorrectly wrote g = -7

Answers

Answer:

The solution set is  {-7, 7}.

Step-by-step explanation:

He was half right .There are 2 solution d = -7 and d = 7.

A moving company’s moving rates can be represented by the function f(x) = 3x + 400, where x is the number of miles for the move.

Another moving company’s rates can be represented by the function g(x) = 5x + 200.

Which function represents the difference between the moving companies' rates, h(x) = f(x) – g(x)?

A) h(x) = 2x + 200
B) h(x) = –2x + 200
C) h(x) = 5x – 200
D) h(x) = 5x + 600

Answers

Answer:

B) h(x) = –2x + 200

Step-by-step explanation:

f(x) = 3x + 400

g(x) = 5x + 200

f(x) - g(x) = 3x + 400 - (5x + 200) = -2x + 200

-2x to 100 is the answer

What are the solutions?
| x1 = 10
X = ?

Answers

X=10 it has to be cause i mean 1x10 is 10 so yea

Answer:

10

Step-by-step explanation:

The X is 10

• With money, you often round to the nearest dollar.
• If the number of cents is 50¢ or more, round up.
$0.00
$0.50
$1.00
• If the number of cents less than 50¢, round down.
$7.35 rounded to the nearest dollar is $7.00.
$24.86 rounded to the nearest dollar is $25.00.
6. Round to the nearest dollar.
a) $5.48
b) $2.97
c) $0.85
f) $14.98
d) $9.99
e) $1.29
+

Answers

a) $5.48  = $5.00

b) $2.97  = $3.00

c) $0.85  = $1.00

f) $14.98  = $15.00

d) $9.99  = $10.00

e) $1.29 = $1.00

What is the solution for -3x ≥ 36?

Answers

Answer:

x ≤ -12

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

-3x ≥ 36

Step 2: Solve for x

Divide both sides by -3:                    x ≤ -12

Here we see that any number smaller than or equal to -12 would work as a solution.

Kcfjvfjjfjv bsdhkncd hub Chi

what is 2/5 x 4 help me please

Answers

Answer: 1.6

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

2/5×4

=8/5

=1.6

So the answer is 1.6

The measure of one of the acute angles in a right triangle is 59°.

What is the measure of the other acute angle?

Answers

Answer:

31*

Step-by-step explanation:

right triangle means 90* so 90*-59* = 31*

Answer:

31 degrees

Step-by-step explanation:

One electrician charges a $50 service call fee plus $25 per hour for labor. Another electrician charges a $35 service call fee plus $27.50 per
hour for labor. How long would a job take if the total cost for each electrician is the same?
A.5 hours
B.6hours
C.7 hours
D.8 hours

Answers

Answer:

c. 6 hour

Step-by-step explanation:

time = t

25t + 50 = 27.50t + 35

solve for t : 25t + 50 = 27.5t +35

27.5t + 35 = (55t) /2 + 35 : 25t + 50 = (55t) /2 + 35

subtract (55t) /2 + 50 from bot side : -(5t) /2 = -15

multiply both side by -2/5: t = 6 hours



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer

follow the steps

Step-by-step explanation:

y2 - y1 over x1 - x2. get your slope and do y= mx+b. then youll get your equation once you find the intercept.

ab (3a-5b) equals to?

Answers

Answer:

3a^2b-5ab^2

Step-by-step explanation:

Answer:

3a²b-5ab²

Step-by-step explanation:

Distribution method:

ab (3a-5b) = 3a²b-5ab²

Can someone please help me I added the a screenshot of the question below

Answers

Answers:

Change in y (Delta y)= -15, Change in x (Delta x)= 1, Average rate of change = -15

Step-by-step explanation:

This is just simply finding the slope of the selected area.

Rise is -15, Run is 1, therefore the slope is -15/1=-15

Ini bagaimana ya caranya
Bantu caranya

Answers

Answer:

Aku enga isa lihat, isa kan kamu bilangin di koment apa itu, terimakasi

Step-by-step explanation:

Which of the following tables can be generated from the equation y = 2x + 1?

a: x y
2 1
3 2
4 3
5 4
b: x y
-4 1
-2 -1
0 -3
2 -5
c: x y
1 3
2 5
3 7
4 9
d: x y
0 3
1 5
2 7
3 9
...

Answers

Answer:

Step-by-step explanation:

the tables can be gererated by placing the x and y values on the equation

Answer:

I believe the answer is B but not for sure  

Step-by-step explanation:

can someone please help me .. will mark brainliest !

Answers

Answer:

a

Step-by-step explanation:

i don't really know just Draco told me i should answer this

What is the gcf of 51 and 3

Answers

Answer:

3

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

The factors of 51: 1, 3, 17 and 51.The factors of 3: 1,3

So the greatest number of both is 3

Hope this helps

just points for whomever help me ​

Answers

Answer:

with what do you need help with your life

Step-by-step explanation:

Which angles are alternate interior angles?

Answers

Answer:

Angle QPM and Angle LMP are alternate interior I'm pretty sure, so I think B or  second choice.

Answer:

QPM and OPM

Step-by-step explanation:

I picked those two because those are the only angles that look weird

HELP DUE IN 5!!!!
The points in each table lie on a line. Find the slope of the line.

O -3
O -3/4
O 3/4
O None of the above

Answers

None of the above
It is -4/3

Answer:

none of the above

Step-by-step explanation:

the slope is: rise/run which equals y/x which equals -4/3

Help time limit

A car leaving A stop sign accelerates constantly from a speed of 0 ft./s to reach a speed of 44 ft./s. The distance of the car from the stop sign, d, in feet, at a time t, in seconds, can be found using the equation d=1.1t to the second power.

What is the average speed of the car, in feet per second, between t=2 and t=5

Answers

I got 7.7 , I’m not sure

Please help!

Which shows the greatest common factor of these numbers being 14?
A.
28 = 2 x 2 x 7
63 = 3 x 3 x 7
B.
28 = 2 x 2 x 7
42 = 2 x 3 x 7
C.
42 = 2 x 3 x 7
84 = 2 x 2 x 3 x 7
D.
42 = 2 x 3 x 7
63 = 3 x 3 x 7

Answers

Answer:

B. 28 = 2 x 2 x 7

42 = 2 x 3 x 7

Step-by-step explanation:

B is the correct answer. If you look at the list in answer choice B, you will see that each number has a common factor of 2 and 7. When you multiply 2 and 7 together, you get a product of 14.

Answer:

B !

Step-by-step explanation:

1. The aspect ratio of a display is the proportional relationship between the width of a
display and its height. In 2012, 16 : 9 became the most common aspect ratio for
computer displays. If the width of a large screen television is 90 inches, what is
the height using this aspect ratio, to the nearest inch?

A 51 inches
B 71 inches
C 97 inches
D 160 inches​

Answers

Answer:160 inches

Step-by-step explanation: it cant be less som wer left with 97 and 160 97 is not 16:9

Factorise
х²- Чx - 21+1oy-y²​

Answers

Answer:

You might want to retype your question correctly for maximum understanding and subsequent help

20 POINTS WILL MARK BRAINLIEST plz help me very simple

Answers

Answer:

£ 2.38

Step-by-step explanation:

Cost of 2.5 kg potatoes = £ 1.40

Cost of 1 kg potatoes = [tex]\frac{1.40}{2.5}\\[/tex]

Cost of 4.25 kg potatoes = [tex]\frac{1.40}{2.5}*4.25\\\\[/tex]

                                         =  1.40 * 1.7

                                        = £ 2.38

                                         

WORTH 50 POINTS NEED HELP ASAP

Answers

Answer:

-10, -1, 5

Step-by-step explanation:

To find the zeros of a function, you have to set each factor to zero in equations, then solve for x ....

x + 10 = 0 ... then factor 10 over (subtract 10 from each side) ...

x = -10

x-5=0

then repeat (add 5 to both sides) (and subtract 1 from both sides) ...

x -5 = 0 to x = 5

x + 1 = 0 to x = -1

hope this helps!! tell me if it  doesnt  make sense and i can help you!! also if it is right can i have brainliest :) no worries though happy to help

r +(-5)
Combine the like terms to create an equivalent expression ​

Answers

R-5 is the answer hope this helps

a construction crew has just built a new road. they worked for 4 weeks. they built the road at a rate of 10.24 kilometers per week. how many kilometers of road did they build?

Answers

40.96 kilometers

4 x 10.24 = 40.96

How much does air weigh ?​

Answers

1 cubic foot of air at standard temperature and pressure assuming average composition weighs approximately 0.0807 lbs. This one doesn't have an answer that is exact or necessarily correct as air is a composite mixture of various gases and this mixture can change due to an enormous quantity of variables.

Answer:

Well it depends on how much air

Step-by-step explanation:

All the air we have in our atmosphere combined is about 5 million billion tons

PIC below plz answer...

Answers

Answer:

The last answer choice

Step-by-step explanation:

Bc your able to multiply each number in the parenthesis

the first option should be it hope this helps :)
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