Solution of 2x+y-3=0 and 2x-3y-7=0 is?
Answers
Step-by-step explanation:
2x+y=3
y=3-2x
Put this in eq. 1
2x-9+6x=7
8x=16
x=2
y=3-2×2
y=-1
Answer:
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Step-by-step explanation:
Step by Step Solution:
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System of Linear Equations entered :
[1] 2x+y-3=0
[2] 2x-3y-7=0
Equations Simplified or Rearranged :
[1] 2x + y = 3
[2] 2x - 3y = 7
Graphic Representation of the Equations :
y + 2x = 3 -3y + 2x = 7
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = -2x + 3
// Plug this in for variable y in equation [2]
[2] 2x - 3•(-2x+3) = 7
[2] 8x = 16
// Solve equation [2] for the variable x
[2] 8x = 16
[2] x = 2
// By now we know this much :
x = 2
y = -2x+3
// Use the x value to solve for y
y = -2(2)+3 = -1
Solution :
{x,y} = {2,-1}