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Arturiano [62]
3 years ago
10

What is the y-value of the solution to the system of equations?

Mathematics
2 answers:
Alla [95]3 years ago
7 0

Answer:

<h2>y = 2</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}3x+5y=1&\text{multiply both sides by 7}\\7x+4y=-13&\text{multiply both sides by (-3)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}21x+35y=7\\-21x-12y=39\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad23y=46\qquad\text{divide both sides by 23}\\.\qquad\qquad y=2

If you want to solve it to the end, put the value of y in the first equation and solve it for x.

3x + 5(2) = 1

3x + 10 = 1         <em>subtract 10 from both sides</em>

3x = -9           <em>divide both sides by 3</em>

x = -3

motikmotik3 years ago
5 0

Answer:

{x = -3 , y=2  (Isolved for both variables be elimination)

Step-by-step explanation:

Solve the following system:

{3 x + 5 y = 1 | (equation 1)

7 x + 4 y = -13 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 4 y = -13 | (equation 1)

3 x + 5 y = 1 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{7 x + 4 y = -13 | (equation 1)

0 x+(23 y)/7 = 46/7 | (equation 2)

Multiply equation 2 by 7/23:

{7 x + 4 y = -13 | (equation 1)

0 x+y = 2 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{7 x+0 y = -21 | (equation 1)

0 x+y = 2 | (equation 2)

Divide equation 1 by 7:

{x+0 y = -3 | (equation 1)

0 x+y = 2 | (equation 2)

Collect results:

Answer:  {x = -3 , y=2

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Answer – True

To begin an indirect proof, you assume the inverse of what you intend to prove is true. An indirect proof takes the conclusion from a hypothesis and assumes that the inverse is true until a contradiction is reached, thus showing that if the inverse is true there would be a contradiction. In other words, indirect proof demonstrates that something else apart from the given statement (usually algebraic or geometric) would not make sense.

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3 years ago
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SIZIF [17.4K]

Answer: I think A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
1. A number plus 7 is at most 4.​
nasty-shy [4]

Answer:

-3

4 - 7 = -3.

-3 + 7 = 4.

They are in a fact family.

The answer is -3.

Hope it helps!

3 0
3 years ago
Read 2 more answers
The square root of 5 is between which two integers
Verdich [7]

2

6 0
2 years ago
How do i show my working when trying to work out 3 1/3 divided by 4?
PolarNik [594]

Answer:

5/6

Step-by-step explanation:

When dividing fractions, we use a rule where we keep the first number, change the sign, and flip the second number.

3 1/3 must be converted to an improper fraction before we can do this, though.

3 1/3 is 10/3 because we multiply 3 by the denominator, also 3, and then add one, so 10/3.

Now we can divide. Remember 4 is the same thing as 4/1

10/3 ÷ 4/1

Keep the first fraction the same, change the division sign into a multiplication sign, and divide by flip the second fraction.

It ends up looking like 10/3 x 1/4

Multiply: 10 x 1 and 3 x 4

It's 10/12, but we can simplify that by dividing both the top and the bottom by 2.

The final answer is 5/6

6 0
2 years ago
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