SOLUTION: How do I solve the following system by substitution 5x-2y=-5 y-5x=3 The solution for this system is =>

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Question 104506: How do I solve the following system by substitution
5x-2y=-5
y-5x=3


The solution for this system is =>

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve by substitution:
1) 5x-2y = 5
2) y-5x = 3
You have a choice. You can solve this equation for y and substitute into equation 1) and then solve that for x...or...you can solve this equation for 5x and substitute into equation 1) and solve that for y.
Let's try the first choice, solve equation 2) for y.
2) y = 5x+3 Now substitute this into equation 1)
1) 5x-2(5x+3) = 5 Simplify.
5x-10x-6 = 5
-5x-6 = 5 Add 5 6 to both sides.
-5x = 11 Divide both sides by -5
x = -11/5 Now substitute this for x into either of the two original equations and solve for y. Let's use the second equation:
y-5x = 3 Substitute x = -11/5
y-5(-11/5) = 3 Simplify.
y+11 = 3 Subtract 11 from both sides.
y = - 8
The solution is: (-11/5, -8) Let's check the graph of the two lines represented by the two equations.
The solution will be seen as the point of intersection of the two lines.
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