The system of equations are x+ y =16 and 2y=x.
<h3>What is Algebra?</h3>
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions
let the two points shots be x
let the three points shots be y.
According to question,
x+ y =16
and,
2y=x
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The value of x is 5.4 ( find the description in the picture)
Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.
One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:
x^2 + 6x + 8 = x + 4
We can then combine like terms, or move everything to one side. So we get:
x^2 + 5x + 4 = 0.
Then we can use the quadratic formula to solve for x.
x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)
This simplifies into:
(-5 +/- 3)/2
Finally we add and subtract:
(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4
And our solution is x = -1, x = -4
Answer:
Look below
Step-by-step explanation:
So I will use an example to try and show you how to do this.
If we have
, we know that we don't have like denominators. We can change this by finding one. All we need to do is multiply our denominators. So in our example, that would be
. Our new denominator would be 6. So now we would have
which isn't the same as our old equation. That is because we haven't multiplied our top numbers yet. To do this, we need to multiply the top number by the opposite denominator like so,
.
So our first fraction was

We then multiplied the whole fraction by the opposite denominator

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Answer:(5/4,0)
Step-by-step explanation: