Line Intersection Equations

Determine the intersection of the two lines p and q if. :
p: 3y + 2x-5 = 0
q: 4x + 7y-11 = 0

Final Answer:

x =  1
y =  1

Step-by-step explanation:


3y+2x-5=0
4x+7y-11=0

3·y+2·x-5=0
4·x+7·y-11=0

2x+3y = 5
4x+7y = 11

Pivot: Row 1 ↔ Row 2
4x+7y = 11
2x+3y = 5

Row 2 - 2/4 · Row 1 → Row 2
4x+7y = 11
-0.5y = -0.5


y = -0.5/-0.5 = 1
x = 11-7y/4 = 11-7 · 1/4 = 1

x = 1
y = 1

Our linear equations calculator calculates it.



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