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3 years ago

14

Find the solution to the system of equations. You can use the interactive graph below to find the solution. y=-4x-3 y=-2x+1 x= y

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1 answer:

Mama L [17]3 years ago

4 0

Answer:

(-2, 5)

Step-by-step explanation:

I will assume that your system is

y = -4x - 3

y = -2x + 1

Multiplying the second equation by -2 results in

y = -4x - 3

-2y = 4x - 2

combining these two equations eliminates x temporarily:

-y = -5, so that y must be 5.

Substituting 5 for y in the second equation, we get:

5 = -2x + 1, or

4 = -2x, which results in x = -2

and so the solution is (-2, 5)

You might be interested in

Write an equivalent expression<br>8x - 6x + 10y + 6 + 4y + 9 = ?x + ?y + ?

k0ka [10]

Answer: 2x + 14y + 15

Step-by-step explanation:

8x - 6x + 10y + 6 + 4y + 9

Bring like terms together

8x - 6x + 10y + 4y + 6 + 9

Combine like terms

2x + 14y + 15

Hope this helped!

7 0

3 years ago

You are one mile from the railroad station, and your train is due to leave in ten minutes. You have been walking at a steady rat

dybincka [34]

Answer:

x=1.818minutes

Step-by-step explanation:

3/60 miles per minute for walk

8/60 miles per minute for run

0.05x + 0.1333y=1

x+y=10

x=y-10

0.05(y-10) + 0.133333y = 1

0.05y-0.5+0.133333y=1

0.18333y=1.5

y=8.18minutes

x=10-8.18

x=1.818minutes

8 0

3 years ago

El area del cuadrado mide 25 pies cuadrados cuál es la longitud de un lado del cuadrado?

Anna [14]

Sabiendo que el área del cuadrado cuyos lados miden (cada uno) "a" es igual a "a²" (A=a²), simplemente sustituimos el área por 625 m² y resolvemos la ecuación:

<span>a² = 625 m² --> a = √(625 m²) --> a = 25m </span>

<span>Solución: Cada lado mide 25 metros. </span>

<span>Explicación de por qué el área del cuadrado con lados de longitud "a" es "a²": </span>
<span>El área de cualquier cuadrilátero es igual a la base por la altura de éste. Siendo en el cuadrado todos los lados iguales, la base y la altura también son iguales. Por lo tanto, el área del cuadrado sera el siguiente: </span>
<span>Área = Base x Altura = a x a = a² </span>

<span>¡Saludos!</span>

7 0

3 years ago

The patriot diner sells 2 cheeseburgers and one soda for $11.00 and 3 hamburgersand 2 sodas for $18.00. What is the cost of a ch

kvasek [131]

Answer: the cost of a cheeseburger is $4

Step-by-step explanation:

Let x represent the cost of one cheeseburgers.

Let y represent the cost of one Soda.

The patriot diner sells 2 cheeseburgers and one soda for $11.00. It means that

2x + y = 11 - - - - - - - - - - - 1

She also sells 3 cheeseburgers and 2 sodas for $18.00. It means that

3x + 2y = 18 - - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 2, it becomes

6x + 3y = 33

6x + 4y = 36

Subtracting, it becomes.

- y = - 3

y = 3

Substituting y = 3 into equation 1, it becomes

2x + 3 = 11

2x = 11 - 3 = 8

x = 8/2 = 4

6 0

3 years ago

I'LL GIVE YOU BRAINIEST!<br> 1 1/5 · x/3 = 9/10 solve for x

joja [24]

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

$\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\huge\textbf{Solve:}$

$\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\mathbf{\rightarrow \dfrac{1\times5+1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\mathbf{\rightarrow \dfrac{5 + 1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\mathbf{\rightarrow \dfrac{6}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\huge\textbf{Simplify it:}$

$\mathbf{\rightarrow \dfrac{2}{5}x = \dfrac{9}{10}}$

$\huge\textbf{Multiply \boxed{\bf \dfrac{5}{2}} to both sides:}$

$\mathbf{\rightarrow \dfrac{5}{2}\times \dfrac{2}{5}x = \dfrac{5}{2}\times \dfrac{9}{10}}$

$\huge\textbf{Simplify it:}$

$\mathbf{\rightarrow x = \dfrac{5}{2}\times \dfrac{9}{10}}$

$\mathbf{\rightarrow x = \dfrac{5\times9}{2\times10}}$

$\mathbf{\rightarrow x = \dfrac{45}{20}}$

$\mathbf{\rightarrow x = \dfrac{45\div5}{20\div5}}$

$\mathbf{\rightarrow x = \dfrac{9}{4}}$

$\mathbf{x \approx 2 \dfrac{1}{4}}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{x = }\frak{2 \dfrac{1}{4}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

8 0

2 years ago

Read 2 more answers