(3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0, (3, -2) is not a solution to the system of equations -x - y = -5 and 3x - 4y = 17 and (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

<h3>How to determine the whether or not (3, -2) is a solution to the following systems?</h3>

The systems of equations are given as:

1. x - 2y = 7 and 2x + 3y = 0

2. -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

Next, we substitute (3, -2) for (x, y) in the system of equations.

So, we have:

1. x - 2y = 7 and 2x + 3y = 0

3 - 2 * -2 = 7 and 2 * 3 + 3 * -2 = 0

Evaluate

7 = 7 and 0 = 0

The above equation is true

Hence, (3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0

2.- x - y = -5 and 3x - 4y = 17

-3 + 2 = -5 and 3 * 3 + 4 * 2 = 17

Evaluate

- 1 = - 5 and 1 7 = 1 7

The above equation is false

Hence, (3, -2) is not a solution to the system of equations -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

3 - 2 = 1 and 3 + 2 = 6

Evaluate

1 = 1 and 5 = 6

The above equation is false

Hence, (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

Read more about system of equations at:

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8 0

1 year ago

A man has a wife with six children and

BartSMP [9]

Answer:

$i)10\% \: of \: 8500 \\ = \frac{1}{10} \times 8500 \\ = 850 \: was \: his \: tax$

8 0

2 years ago

A computer that originally cost $500 is on sale for $350. What is the percent discount?

laiz [17]

Answer:

30%

Step-by-step explanation:

500 - 350 = 150
Set up a proportion: $\frac{150}{500} = \frac{x}{100}$
Cross multiply, then divide: 150 × 100 = 15000, 15000 ÷ 500 = 30
Write the completed fraction: $\frac{30}{100}$
$\frac{30}{100} =$ 30%

I hope this helps!

8 0

3 years ago

How to put it in scientific notation??

Simora [160]

To put something in scientific notation, you have to make it a number more or equal to 1, but less than 10 and multiply it by 10 or 10 to the power of any number. For example 3.8x10^5. If you multiplied that out, you would get 380,000. You would get this as you are moving the decimal to the left 5 times. Since it has a decimal point, you have to subtract one from the 5 powers of ten. This would leave you with 10^4, and those would be zeros due to the fact that you are moving up places. For another example, 2.6 x 10^-3. You would get 0.0026. This is because it is a negative power. If you move the decimal in 2.6 to the left, you would have to add 1 power. Since it is a negative power, you have to subtract it. It would then become 10^-2. You would then move the decimal two more places to the left. Therefore, your answer would be 0.0026. In conclusion, any number with one or more zeros behind or past the decimal point can be put in scientific notation. Just make sure the number is equal to or more than 1 and less than 10. Hopefully my examples helped, thank you for reading if you did. Good luck!

5 0

3 years ago