SOLUTION: Solve using the substitution method y=3x+1 3y-7x=9 Simplify your answer and type an ordered pair Here is another one I have difficulty with the substitution method, can someo

Question 434267: Solve using the substitution method
y=3x+1
3y-7x=9
Simplify your answer and type an ordered pair
Here is another one I have difficulty with the substitution method, can someone please help me? Thanks again
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve using the substitution method
y=3x+1
3y-7x=9
Simplify your answer and type an ordered pair
:
Use the 1st equation for substitution in the 2nd equation
replace y in the 2nd equation with (3x+1)
3(3x+1) - 7x = 9
9x + 3 - 7x = 9
9x - 7x = 9 - 3
2x = 6
x =
x = 3
:
Use the 1st equation to find y, replace x with 3
y = 3(3) + 1
y = 10
:
The ordered pair: 3, 10
:
:
Check our solutions in the 2nd equation, replace x and y
3(10) - 7(3) = 9
30 - 21 = 9; confirms our solution of x=3, y=10
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