SOLUTION: Use Substitution to solve each system of equations. state whether it has no solution or infinitely many solutions. y=2x+3 y=4x-1

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Question 181355: Use Substitution to solve each system of equations. state whether it has no solution or infinitely many solutions. y=2x+3 y=4x-1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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y=2x+3 y=4x-1
;
Substitute 4x - 1 for y in the 1st equation
4x - 1 = 2x + 3
4x - 2x = 3 + 1
2x = 4
x = 4%2F2
x = 2
:
Find y using the 1st equation
y = 2x + 3
y = 2(2) + 3
y = 7
;
It has one solution: 2,7
:
Check solutions in the 2nd equation
y = 4x - 1
7 = 4(2) -1