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3 years ago

Solve the equation by elimination

Mathematics

1 answer:

SVEN [57.7K]3 years ago

5 0

Answer:

(1,-7)

Step-by-step explanation:

y= -9x + 2.............equn(1)

y= -3x - 4..........................(2)

subtract equation (1) from equn. (2)

0= -6x + 6

subtract 6 from both sides

0-6= -6x + 6-6

-6 = -6x

divide via by -6

-6/-6 = -6x/-6

x=1

to solve for y, put x in any equation

equation (1)

y=-9x+2

y=-9(1)+2

y=-9+2

y= -7

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Solve for x. 75° 11x-2

DaniilM [7]

Answer:

x=7

Step-by-step explanation:

6 0

2 years ago

You want to rent a car for the day.Prestige car rentals charges $47 plus $0.07 per mile to rent a midsize vehicle . Gateway Auto

jolli1 [7]

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = $x$ miles

Charges for one mile by Prestige car rentals = $0.07

Charges for $x$ miles by Prestige car rentals = $0.07 $x$

Total charges by Prestige Car rentals = $47 + $0.07 $x$

Charges for one mile by Gateway Auto = $0.12

Charges for $x$ miles by Gateway Auto = $0.12 $x$

Total charges by Gateway Auto = $35 + $0.12 $x$

As per question statement, the charges are same:

$\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}$

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2 years ago

There are 24 red roses and 36 white roses in the bouquet. what is the ratio of red roses to white roses

otez555 [7]

Answer:

the required ratio is :

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6 0

3 years ago

Read 2 more answers

What is (5+3)+7=5+(3+7) is it Associative, Identity, Commutative or Substitution?

timama [110]

Answer:

Associative

Step-by-step explanation:

The associative property of addition states that you can add numbers however they are grouped inside parentheses.

It doesn't matter where you put the parentheses. You will always get the same answer.

For example,

$\begin{array}{rcl}(5 + 3) + 7 & = & 5 + (3 + 7)\\8 + 7& = & 5 + 10\\15 & = & 15\\\end{array}$

4 0

3 years ago

Find the greatest number that divides451, 328 and 673 leaving 1, 4 and 1,respectively as remainders.

Vesna [10]

You're looking for the largest number x such that

x ≡ 1 (mod 451)

x ≡ 4 (mod 328)

x ≡ 1 (mod 673)

Recall that

x ≡ a (mod m)

x ≡ b (mod n)

is solvable only when a ≡ b (mod gcd(m, n)). But this is not the case here; with m = 451 and n = 328, we have gcd(m, n) = 41, and clearly

1 ≡ 4 (mod 41)

is not true.

So there is no such number.

4 0

2 years ago