The solution to the systems of equations is (7, 3)
Given the systems of equations expressed as:
-x + 4y = 5 ....................1
x - 5y = -2 ...................... 2
Add both equations to have:
-x+x + 4y - 5y = 5 - 2
4y-5y = -3
-y = -3
y = 3
Substitute y = 3 into equation 1:
-x + 4(3) = 5
-x + 12 = 5
-x = 5 - 12
-x = -7
x = 7
Hence the solution to the systems of equations is (7, 3)
Learn more on simultaneous equations here: brainly.com/question/148035
The product<span> of </span>two consecutive odd<span> numbers is </span>143<span>. Find the numbers. (Hint: if the first </span>odd<span> number is x, what is the next </span>odd<span> number?) ... Ad: You enter your algebra </span>equation<span>or inequality - Algebrator solves it step-by-step while ... We </span>need two<span> numbers that add up to </span>2<span>. ... The next </span>consecutive odd integer<span> is , so</span>
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.
Since we want to determine the 76th term, we are going
to substitute 76 in for <em>n</em> in our explicit formula.
Then, 
will be our first term in our sequence which is 17.
Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have 
.
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have 
.
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have 
.
Now just add to find that 
.
So the 76th term is 167.
$135 + $15x is greater than or equal to $300
4x - 13 = 2x + 9
Add 13 to each side
4x = 2x + 22
Subtract 2x from both sides
2x = 22
Divide both sides by 2
x = 11
