Ask question

Ask question

All categories

3 years ago

15

16x+14y=8 -63x-14y=133

1 answer:

artcher [175]3 years ago

4 0

Answer:

(-3, 4)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

<u>Algebra I</u>

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

<u>Step 1: Define Systems</u>

16x + 14y = 8

-63x - 14y = 133

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

Combine 2 equations: -47x = 141
Divide -47 on both sides: x = -3

<u>Step 3: Solve for </u><em><u>y</u></em>

Define original equation: 16x + 14y = 8
Substitute in <em>x</em>: 16(-3) + 14y = 8
Evaluate multiplication: -48 + 14y = 8
Add 48 on both sides: 14y = 56
Divide 14 on both sides: y = 4

<u>Step 4: Graph Systems</u>

<em>Check the solution set.</em>

You might be interested in

Plz hlpe me Find the product.

posledela

Answer:

3)

-3.6; since - times + is -ve

4)

360 ; since - * - *- * - is +ve

5)

24 ; since - * - is +ve

5 0

3 years ago

In Still Water, Peters Boat Goes 4 Times as Fast as the Current of the River. He Took a Trip 15 Miles Up the River, Then Came Ba

inn [45]

Answer:

2 km/h

Step-by-step explanation:

Let

Rate of river current = x km/h

Speed of Peter's boat = 4x km/h

He takes 15 km trip up (opposite direction)

His speed upstream = 4x - x

= 3x

His speed is 3x and distance is 15 km

Time = Distance / Speed

15/3x

= 5/x

And

Moving downstream (same direction)

Speed will be 4x + x = 5x

Distance = 15km,

speed = 5x

Time = Distance / Speed

= 15/5x

= 3/x

Total time take for trip = 4 hours

Total time take for trip = upstream + downstream

4 =5/x + 3/x

4 = 8/x

Cross product

4 * x = 8

x = 8/4

x = 2

Rate of river current = x km/h

= 2 km/h

3 0

3 years ago

Jack reads for 25 minutes every night. If Jack continues to read the same amount of time each night how many minutes will he rea

gogolik [260]

Answer:

525 minutes

Step-by-step explanation:

3 weeks have 21 days

25 minutes per night is 25 * 21 minutes for 3 weeks = 525

5 0

3 years ago

Ronald repairs computers. He charges $25 for a house call and $24 per hour. If Ronald charges $145 for one of his jobs, includin

Natalija [7]

Answer:

25+24h=145

Step-by-step explanation:

5 0

3 years ago

a student has some $1 and $5 bills in his wallet. he has a total of 15 bills that ar worth $47. how much of each type of bill do

Karolina [17]

Answer:

a = 7 ($1)

b = 8 ($5)

Step-by-step explanation:

a + b = 15 | (-)

1a + 5b = 47

- a - b = - 15

a + 5b = 47

------------------ +

-a + a - b + 5b = - 15 + 47

4b = 32

b = 32 : 4

b = 8

a = 15 - 8 = 7

4 0

4 years ago