SOLUTION: If you solve the system below with substitution by using the "shortest" route, which step would you get? 2x + 5y = 10 x + 3y = 8 I got: 5-2.5y + 3y = 8 Is this correct?

Question 76845: If you solve the system below with substitution by using the "shortest" route, which step would you get?
2x + 5y = 10
x + 3y = 8
I got:
5-2.5y + 3y = 8
Is this correct? Can you help?
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
If you solve the system below with substitution by using the "shortest" route, which step would you get?
2x + 5y = 10
x + 3y = 8
I got:
5-2.5y + 3y = 8
Is this correct? Can you help?
Solve the second equation for x and substitute it into the first equation.
x+3y-3y=8-3y
x=8-3y
:
2(8-3y)+5y=10 solve for y
16-6y+5y=10
16-y=10
16-16-y=10-16
-y=-6
-y/-1=-6/-1
y=6 Now substitute 6 in for y into the second equation and solve for x.
x=8-3(6)
x=8-18
x=-10
(x,y)=(-10,6)
To check your solution, substitute your answer into both equations and see if they balance:
:
2x + 5y = 10
2(-10)+5(6)=10
-20+30=10
10=10 Right so far.
:
x + 3y = 8
(-10)+3(6)=8
-10+18=8
8=8 We're right!!!
:
Happy Calculating!!!
RELATED QUESTIONS
I do not know how to solve system equations using substitions with fractions. Do i... (answered by ptaylor)

by using the system of substitution, how do you solve y=11-2x,... (answered by lynnlo)

Solve the System By Substitution - x - y - z = - 8 -4x + 4y + 5z = 7 2x + 2z = 4 (answered by Edwin McCravy)

How do you solve the following problems using the substitution method? The end result... (answered by stanbon)

Solve the system below by using substitution: X+3y=8... (answered by ewatrrr)

Can you please help me with these two problems I would appreciate it. Solve each... (answered by stanbon)

*You want to get rid of the x by elimination in the system below. 3x + 4y = 7 4x � 2y (answered by mananth)

Solve by substitution or elimination 2x-3y=8 -4x+5y=-10 i got the answer (-1,-6) but... (answered by MathLover1)

Solve the system by substitution. x + 2y = �17 �2x + 3y = �15 Solve the system... (answered by rajagopalan)