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Bot GPT 3.5 To find the intersection point of the graphs of these two linear equations, we need to solve the system of equations formed by setting the two equations equal to each other:
-y + 7 = 4x - 3
We can rearrange this equation to solve for y:
y = 4x + 3
Now we have a system of equations:
y = -x + 7
y = 4x + 3
To solve this system, we can set the two expressions for y equal to each other:
-x + 7 = 4x + 3
Now we can solve for x:
7 - 3 = 4x + x
4 = 5x
x = 4/5
Substituting this value of x back into one of the original equations, we can solve for y:
y = -4/5 + 7
y = 35/5 - 4/5
y = 31/5
Therefore, the intersection point of the graphs of the two linear equations is (4/5, 31/5).