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3 years ago

X+y=0 and x-y=10 solve by substitution.. How do I figure out the problem!

Mathematics

2 answers:

Anastasy [175]3 years ago

6 0

$x+y=0 \\ x-y=10 \\\\
x=-y\\
x-y=10\\\\
-y-y=10\\
-2y=10\\
y=-5\\\\
x-5=0\\
x=5\\\\
\boxed{(x,y)=(5,-5)}$

fomenos3 years ago

6 0

x+y=0
- x-y=10
--------------
(0)+2y=-10 [x and -x cancel each other out. y minus -y is the same as y+y]
y=-5
now substitute -5 in for y in either problem:

x+-5=0
x=5

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expeople1 [14]

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Hope this helps

8 0

3 years ago

Help me plsss! Thank you

Brrunno [24]

You want to calculate the interest on $3020 at 5% interest per year after 6 6 month period(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $3020.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....6 month period(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "6 month period(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 6- 6 month period(s), by two (2), since there's two 6-month periods in 1 year.

So, t is 3....year time periods.

To find the simple interest, we multiply 3020 × 0.05 × 3 to get that:

The interest is: $453.00

Usually now, the interest is added onto the principal to figure some new amount after 6 6 month period(s),

or 3020.00 + 453.00 = 3473.00. For example:

If you borrowed the $3020.00, you would now owe $3473.00

If you loaned someone $3020.00, you would now be due $3473.00

If owned something, like a $3020.00 bond, it would be worth $3473.00 now.

4 0

3 years ago

Read 2 more answers

Which of the following is not a solution for the inequality 3x +2 < 12?

Advocard [28]

$3x+2 < 12\ \ \ \ |-2\\\\3x < 10\ \ \ \ |:3\\\\x < \dfrac{10}{3}\\\\x < 3\dfrac{1}{3}\\\\x=2 < 3\dfrac{1}{3}\\\\x=2.5 < 3\dfrac{1}{3}\\\\x=3 < 3\dfrac{1}{3}\\\\x=3.5-Answer$

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3 years ago

What is 13x -4+100=180

Naddika [18.5K]

Answer: x = 6.46153846

Step-by-step explanation:

We are given the equation 13x - 4 +100 = 180, and we must find the value of x. In order to do that get x on on one side by itself and a constant on the other side by itself.

This first step is to combine like terms. 13x is by itself. -4 + 100 = 96. This gives us the equation 13x +96 = 180.

In order to get x by itself, subtract 96 from each side of the equation. This gives us the equation 13x = 84.

Next, divide each side by 13 to find x. This gives us x = 6.46153846

$13x - 4 +100=180$