6. How.many solutions does this system have? y = 4x + 5 y = - 4x + 5
1 answer:
Answer:
- Solution (0,5)
Explanation:
Since the y-intercepts are the same and their slopes are different, they have a solution because if a slope is positive, the line would start from the origin and continuously increase and if a slope is negative, the line would start from the top and continuously decrease. A solution is an intersection between two lines. Please look at my graph for proof. The solution is (0,5).
You might be interested in
Hello!
The answer are:
- Product of powers.
- Power of a power.
- Negative exponents.
<h2>Why?</h2>Let's solve it!
It's a math rule that we must solve first what's into a brake or parenthesis, so,
First: Product of powers
According to the exponent's law, we have a product of powers case, so, we need to sum the exponents and keep the base
Exponents: 5 and 3
Base: 7
Applying it we have:
Then,
We have a power of a power case, which involves multiplying the exponents:
Exponents: 3 and -4
Then,
Finally, we can apply the negative exponents, the negative exponent's rules state that negative exponents are the reciprocal of the positive exponents,
So, we will have that:
Have a nice day!