SOLUTION: 3x-4y=-1 11y+2=13x I have to solve this problem using substitution and I don't understand could someone please help me?

Question 120130: 3x-4y=-1
11y+2=13x
I have to solve this problem using substitution and I don't understand could someone please help me?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
3x - 4y = -1
11y + 2 = 13x
I have to solve this problem using substitution
:
Let's use the 1st equation for substitution in the 2nd equation:
3x - 4y = -1
:
3x = 4y + 1; Added 4y to both sides
:
x = y + ; Divided both sides by 3
:
:
Substitute the above for x in the 2nd equation:
11y + 2 = 13x
:
11y + 2 = 13(y + )
:
11y + 2 = + ; multiplied inside the brackets by 13
:
Multiply equation by 3 to get rid of the those annoying denominators
3(11y) + 3(2) = 3*y + 3*
:
33y + 6 = 52y + 13
:
33y - 52y = 13 - 6
:
-19y = +7
:
y =
:
y =
:
Find x
x = y + ;
:
Substitute for y
x = + ;
x = + ;
x =
Reduces to:
x =
:
:
Check solutions in 2nd equation:
11y + 2 = 13x
11() + 2 = 13()
+ 2 =
+ = confirms our solutions
:
This was nasty problem with a lot of steps and fractions;
but each step by itself, is a simple operation; try following it step-by-step.
Let me know how you do.
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