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3 years ago

Solve using Substitution y = 6x - 11 -2x - 3y = -7

Mathematics

1 answer:

vladimir2022 [97]3 years ago

4 0

Answer:

(2, 1)

Step-by-step explanation:

To solve by substitution, we solve one equation for one of its variables and then substitute the solved value for that variable into the other equation. Because this system of equations already has one solved for the variable, this makes our job much easier. We only need to implement the solved value for y into the other equation and solve for x.

y = 6x - 11

-2x - 3(6x - 11) = -7 Distribute.

-2x - 18x + 33 = -7 Combine like terms.

-20x + 33 = -7 Subtract 33 from both sides of the equation.

-20x = -40 Divide by -20 on both sides of the equation.

x = 2

Then, with this value, we will place it into the equation that was already solved for y in order to get a definite value for y.

y = 6(2) - 11

y = 12 - 11

y = 1

Using this information, the coordinate pair for this equation (the point of intersection between the two lines) is (2, 1).

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On a hot summers day 262 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults. The r

ololo11 [35]

<h3>Answer:</h3>

154 adults
108 children

<h3>Step-by-step explanation:</h3>

Let x represent the number of adults who swam at the pool. Then (262-x) is the number of children. Multiplying these numbers by the corresponding admission charge will give the associated receipts. We are given the total of receipts, so we can write the equation ...

... 2.00x +1.50(262-x) = 470.00

... 0.50x +393.00 = 470.00 . . . . . simplify

... 0.50x = 77.00 . . . . . . . . . . . . . . .subtract 393

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8 0

3 years ago

Suppose that the handedness of the last fifteen U.S. presidents is as follows: 40% were left-handed (L) 47% were Democrats (D) I

xxTIMURxx [149]

Answer:

Mathematically, two events are considered to be independent if the following relation holds true,

∵ P(B | A) = P(B)

For the given case,

P(D | L) = P(D)

But

0.13 ≠ 0.47

Since the relation doesn't hold true, therefore, "being left-handed" and "being a Democrat are not independent events.

Step-by-step explanation:

We are given that

Left-handed = P(L) = 0.40

Democrats = P(D) = 0.47

If a president is left-handed, there is a 13% chance that the president is a Democrat.

P(D | L) = 0.13

Based on this information on the last fifteen U.S. presidents, is "being left-handed" independent of "being a Democrat?

Mathematically, two events are considered to be independent if the following relation holds true,

∵ P(B | A) = P(B)

For the given case,

P(D | L) = P(D)

But

0.13 ≠ 0.47

Since the relation doesn't hold true, therefore, "being left-handed" and "being a Democrat are not independent events.

3 0

3 years ago

2 x (3^3-5+8) pemdas

Pavel [41]

Answer:

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

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

2 × (3³ - 5 + 8)

<u>Step 2: Evaluate</u>

[Parenthesis] Exponents: 2 × (27 - 5 + 8)
[Parenthesis] Subtract: 2 × (22 + 8)
[Parenthesis] Add: 2 × 30
Multiplication: 60

6 0

3 years ago

Group Tens as Hundreds

IrinaK [193]

Answer:

Write how many groups of tens there are

Circle groups where there are ten groups of tens

Write how many hundreds there are

Write the total number of tens and hundreds there are

3 0

3 years ago

What multiplies to -36 but adds to -3

tekilochka [14]

Xy=-36

x+y=-3

x= -36/y

-36/y + y = -3

-36 + y^2 = -3y

y^2 +3y -36 = 0

I think you have to use quadratic formula to find the 2 values of y and then plug in for x

3 0

3 years ago