System of Equations

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View:  In Common Lyric Explanation

Special guest: Dr. Anthony Dove - Background Vocals 

Verse 1:
y = x + 4 and y = 2x - 1
A different y-intercept and slope
For each equation
See where the two lines cross
It’s what’s in common
Ordered pair (5,9) is the solution

Chorus:
Find the solution for this system
Take two linear equations
And solve what is both true and in common
It’s where they’re crossing
The shared solution is a coordinate or ordered pair
To get it we graph it, eliminate or use substitution

Verse 2:
Isolate the x or the y, y = x + 4
Substitute y in the other equation
With the value of y from before (2x - 1 = x + 4)
Solve for the x, value that variable
Plug in x to solve for y, then you’ll know
(5,9), hello!

Bridge:
Two lines with the same slope
And different y-intercepts
Those are parallel lines
Yea, they’ll never connect
There’s no solution they share
No point in common, in fact
Nothing in common along the lines
But if they have the same slope
And same y-intercept
Those are the same exact line
They will always connect
Every solution they share
All points in common, in fact
All things in common along one line

Verse 3:
y = x + 4 and y = 2x - 1
We line up the variables
And multiply one equation (-y = -2x + 1)
So when we add the two equations
One variable goes, elimination
Then we solve for x
And use some substitution
(5,9) is the solution

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