Help??

Solve the following system by the elimination method. Check the solution. 5x−5 = −7y, 3x+2y = - 8

torisob [31]

5x-5=-7y
3x+2y=-8

First, you need to rearrange the first equation so it is in the same format as the second one.
5x-5=-7y
Add 5 to both sides
5x-5+5=-7y+5
Add 7y to both sides
5x+7y=-7y+7y+5
So you have 5x+7y=5

Now you need to multiply that equation by 3
3(5x+7y=5)
15x+21y=15

Multiply the second equation by -5
-5(3x+2y=-8)
-15x-10y=40

Now add them together
15x+21y=15
+(-15x-10y=40)
---------------------
11y=55
y=5

Now plug y=5 into one of the original equations and solve for x.
3x+2(5)=-8
3x+10=-8
3x=-8-10
3x=-18
x=-6

To check the solution plug them both into the other equation:
5(-6)-5=-7(5)
-30-5=-35
-35=-35

It checks.

Hope that helps.

4 0

3 years ago

Place the drinks in order from the least (top) expensive

olasank [31]

Step-by-step explanation:

which drinks show the types please

4 0

4 years ago

De un total de 24 niñas 1/4 practican natación, 1/2 juega volibol y el resto no practica ningún deporte. ¿Cuántas niñas no pract

masya89 [10]

Answer:

6 niñas no practican ningún deporte.

Step-by-step explanation:

De un total de 24 niñas, $\frac{1}{4}$ practican natación. Esto se expresa mediante la operación matemática:

$\frac{1}{4} *24$

Para multiplicar una fracción por un número entero, cualquier entero n puede ser escrito como la fracción $\frac{n}{1}$ . Entonces en este caso:

$\frac{1}{4} *24=\frac{1}{4} *\frac{24}{1}$

Ahora se multiplican los denominadores para obtener el denominador final y se multiplican los numeradores para obtener el numerador final:

$\frac{1}{4} *24=\frac{1}{4} *\frac{24}{1}=\frac{1*24}{4*1}=\frac{24}{4}$

Finalmente, se reduce el resultado hasta llegar a la forma más simple. Para obtener un resultado simplificado, se divide el numerador por el denominador. En este caso, para reducir la fracción $\frac{24}{4}$ , se divide 24 por 4. El resultado obtenido es 6. Esto indica que de un total de 24 niñas, 6 practican natación.

Por otro lado, de un total de 24 niños, $\frac{1}{2}$ juegan voleibol. Esto se expresa mediante la operación matemática:

$\frac{1}{2} *24$

Resolviendo de manera similar a lo previamente calculado, se obtiene:

$\frac{1}{2} *24= 12$

Esto indica que de un total de 24 niñas, 12 practican voleibol.

Por lo que 6 niñas practican natación y 12 voleibol, siento un total de 18 niñas las que practican algún deporte. Por lo que la cantidad de niñas que no practican ningún deporte se calcula mediante:

24 niñas - 18 niñas que practican algún deporte= 6 niñas

6 niñas no practican ningún deporte.

6 0

3 years ago

In parallelogram HJKL if JM=19 find ML.

zalisa [80]

Answer:

19

Step-by-step explanation:

in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps

4 0

3 years ago

A train leaves boston and travels toward its destination at a speed of 60 mph. One hour later, an express train leaves Boston an

Margarita [4]

Taking into account the supplied speeds, Boston is from the destination to:

240 miles

<h3>Calculation of the distance between Boston and Place of Destination</h3>

To identify the distance between Boston and the destination of the trains, it must be remembered that the speed mentioned for each one is a reference to the distance traveled per hour, therefore, after each hour, each train will travel :

Regular train: 60 miles
Express train: 80 miles

According to the information given, when the express train leaves, the regular train has a 60-mile lead, which is getting shorter hour by hour because the express train travels 20 miles per hour more than the normal train.

Therefore, in three hours, the express train would catch up with the regular train, calculating the distance thanks to the speed formula:

$Speed =\frac{Distance}{Time}$

And clearing the distance:

$Distance=Speed*Time$

$Distance=80\frac{miles}{hour}*3hours$

$Distance=240miles$

Therefore, the destination would be 240 miles from Boston, which would take four hours by regular train and three hours by express train.

If you want to learn more about Mathematics, you can visit the following link: brainly.com/question/24600056

3 0

3 years ago