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3 years ago

Which is the best first step and explanation for solving this system of equations?

Mathematics

2 answers:

wariber [46]3 years ago

7 0

Answer:

A ) subtract the second equation from the first equation

Step-by-step explanation:

2x + 3y = 7

2x - 4y = -5

subtracting the second equation from the first equation we get,

7y = 12

y=12/7

This is the correct option

denis-greek [22]3 years ago

5 0

Answer:

A ) subtract the second equation from the first equation

Step-by-step explanation:

Let's consider the following system of equations.

2x + 3y = 7

2x = 4y - 5

If we subtract the second equation from the first equation, we get:

2x + 3y - 2x = 7 - (4y - 5)

3y = 7 - 4y + 5

7y = 12

y = 12/7

Then, we can use any of the original equations and solve for x.

2x = 4y - 5

2x = 4(12/7) - 5

x = 13/14

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How many solutions does the system of equations have x-2y=6 and 3x-6y=18

Ymorist [56]

Solve for x in X-2 (x=8)
Substitute X=8 into 3x - 6y =18 (24-6y=18)
Solve for y in 24-6y=18 (y=1)
X=8 and y=1

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3 years ago

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The distance on a map between a student’s house and her job is 4 centimeters. On the same map, the distance between her house an

vovikov84 [41]

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3 years ago

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Given the equation 2X +4/3 Y equals one and Y -9/13 x=9 by what Vector would you multiply the first equation so that combining t

Mila [183]

Answer: Option B

B. $\frac{9}{26}$

Step-by-step explanation:

We have the following equations:

$2x + \frac{4}{3}y = 1$ (1)

$y -\frac{9}{13}x=9$ (2)

Let us call "a" the coefficient of the variable x in the first equation and call "b" the coefficient of the variable x in the second equation.

Then we must multiply the number "a" by a value z such that when adding $az + b$ the result is zero. $a = 2$

$b = -\frac{9}{13}$

$2z-\frac{9}{13} = 0$

We solve the equation for z

$2z=\frac{9}{13}$

$z=\frac{9}{26}$

The first equation must be multiplied by a value of $\frac{9}{26}$

4 0

4 years ago

Trey rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of .96 cents for each mile d

coldgirl [10]

Answer:

He drove the truck for 234 miles

Step-by-step explanation:

Let x represent the number of miles for which he drove the truck.

There was a base fee of $20.99, and there was an additional charge of .96 cents for each mile driven. It means that the expression for the cost of driving the truck for x miles in a day is

20.99 + 0.96x

Trey has to pay $245.63 when he returned the truck. It means that

20.99 + 0.96x = 245.63

0.96x = 245.63 - 20.99

0.96x = 224.64

x = 224.64/0.96

x = 234 miles

8 0

3 years ago

Draw a line representing the "rise" and a line representing the "run" of the line. State

antoniya [11.8K]

Answer:

Answers are below

Step-by-step explanation:

The rise of the line is -5 units. The run is 4 units. The slope of the line is -5/4.

If these answers are correct, please make me Brainliest!

7 0

3 years ago