Gwen used elimination with multiplication to solve the system:

1 answer:

8 0

The correct answer for this question is this one:

Gwen used elimination with multiplication to solve the system:
2x + 6y = 3
x − 3y = −5

Her work to find x is shown. Complete the explanation of her error. Then solve the system. If necessary, enter your answer as a reduced fraction.
2(x − 3y) = −5 --> 2(x-3y) = 2(-5)
2x − 6y = −5 --> 2x - 6y = -10
2x + 6y = 3 --> 2x + 6y = 3
2x − 6y = −5 --> 2x - 6y = -10
4x + 0y = −2 --> 4x = -7
x = −2/4 --> x = -7/4

x - 3y = -5
4(-7/4 - 3y = -5)
-7 - 12y = -20
-12y = -13
y = 12/13

Gwen forgot to multiply the right side by 2.
What is the solution as an ordered pair

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What value of x is the solution to the equation −3/2x−3/4=−1/5 ?

Ray Of Light [21]

Answer:

$\Longrightarrow: \boxed{\sf{x=-\dfrac{11}{30} }}$

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, add by 3/4 from both sides.

$\sf{-\dfrac{3}{2}x-\dfrac{3}{4}+\dfrac{3}{4}=-\dfrac{1}{5}+\dfrac{3}{4} }$

Solve.

⇒ = -3/2x=11/20

Then, you multiply by 2 from both sides.

2(-3/2x)=11*2/20

Solve.

11*2/20

11*2=22

22/20

Common factor of 2.

11/10

-3x=11/10

Divide by -3 from both sides.

$\sf{\dfrac{-3x}{-3}=\dfrac{\dfrac{11}{10}}{-3}}$

Solve.

$\Longrightarrow:\boxed{\sf{x=-\dfrac{11}{30} }}$

Therefore, the correct answer is D. x=-11/30.

I hope this helps! Let me know if you have any questions.

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2 years ago

Math question.

Oduvanchick [21]

Answer:

C) 25%

Step-by-step explanation:

let salt be 's'

let water be 'w'

$\frac{s+1}{w+s+1} = 33\frac{1}{3} \\\\\frac{s+1}{w+s+1} = \frac{1}{3} \\\\\frac{w + s + 1}{3} = s+1\\\\3s +3 = w+s+1\\w = 2s+2\\\\\frac{s+1}{w+1+s+1} = \frac{3}{10} \\\\\frac{3(w+s+2)}{10} = s+1\\\\3w+3s+6 = 10s+10\\**w = 2s+2\\3(2s+2) + 3s + 6 = 10s+10\\\\6s+6+3s+6 = 10s+10\\9s+12 = 10s+10\\-s = -2\\s = 2\\\\w= 2s+2\\w=2*2+2\\w = 6\\\\\frac{2}{2+6} = \frac{2}{8} = 0.25$