SOLUTION: how whould I solve the equations 6x-2y=10 and x-2y= negtive 5 by using the subtution method?

Question 30478: how whould I solve the equations 6x-2y=10 and x-2y= negtive 5 by using the subtution method?
Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
solve the equations 6x-2y=10 and x-2y= negtive 5 by using the subtution method?
6x-2y =10 ----(1)
x-2y = - 5 ----(2)
Observe that(2) contains (1)x and hence it is easy find x in terms of y using(2)
From (2), we have
x = 2y-5 ----(*)
Putting (*) in (1), that is substituting for x in (1), we get
6(2y-5)-2y = 10
12y-30-2y = 10
(12y-2y)=10+30 (grouping like terms,changing sign while changing side)
10y = 40
y = 40/10 = 4
Putting y = 4 in (*), we have
x = 2y -5 = 2X4 - 5 = 8-5 = 3
Answer x = 3 and y= 4
Verification: Since we used (*)which is nothing but (2)for finding x using y,
we shall use (1)for verification.
x = 3 and y =4 in 6x-2y =10 ----(1)
LHS = 6x-2y = 6X3-2X4 = 18-8 = 10 = RHS
Therefore our values are correct
RELATED QUESTIONS
``solve each system of equations by the substitution method 6x-3y=5... (answered by fractalier)

Solve the pairs of equations by using the substitituion method. x + 2y = 10 x =... (answered by fractalier)

How do I solve the following systems of equations by using the addition method? 2x-y=3... (answered by robertb)

How do I solve this system of equations by using multiplication with the addition method? (answered by ankor@dixie-net.com)

How can I solve 3x+2y=5 & x-2y=4 by using elimination... (answered by Edwin McCravy)

(e) Solve the following system of equations by using Matrix method. 3x + 2y + 2z = 11 x (answered by lynnlo)

How can i solve this by using the substitution method? x=(1/5)y... (answered by stanbon)

Solve the system of equations below using elimination by addition. What are the... (answered by ikleyn)

How would I solve tis equation by using the method of substitution. -x+2y=2 x-2y=-2 (answered by ewatrrr)