SOLUTION: Solve this problem using the substitution method 4x - y = -3 y - 3 = 4x

Algebra.Com
Question 74366: Solve this problem using the substitution method
4x - y = -3
y - 3 = 4x
Found 3 solutions by stanbon, checkley75, jim_thompson5910:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve this problem using the substitution method
4x - y = -3
y - 3 = 4x
-------------
Solve the 2nd equation for y: y=4x+3
Substitute that into the 1st equation to solve for "x":
4x-(4x+3)=-3
4x-4x-3=-3
-3=-3
This means the two equations are dependent which means one
is a multiple of the other. It also means that every point
on the line y=4x+3 is a solution for the system of equations.
------------------
Cheers,
Stan H.
Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
Y-3=4X, Y=4X+3 NOW SUBSTITUTE (4X+3) FOR Y IN THE OTHER EQUATION & SOLVE FOR X
4X-(4X+3)=-3
4X-4X+12=-3
0=-3-12
0=-15 NO SOLUTION.
THESE ARE THE SAME EQUATION IN DIFFERENT FORMS WITH 2 UNKNOWNS. THUS NO SLUTION.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!


Solve the 2nd equation for y. Plug this into the 1st equation



This answer shows us that any x will give us a solution. For instance let x=1




Check:
Plug in (1,7)

Works
Works
So (1,7) is a solution. If we pick any number for x, we can get y. So our solution set is (x,4x+3). This means there are an infinite number of solutions. This is simply because the equations are the same line (try to solve for y for each of them).

RELATED QUESTIONS

Solve using substitution method 4x-2y=6... (answered by ewatrrr)
Solve the system y=2x+3 and y=4x+7 using the substitution... (answered by bucky)
solve each system using the substitution method or the addition method 3(2x+y)=4x+20... (answered by mananth)
Can you help me solve using substitution method y=-4x-3... (answered by Alan3354)
how do I work this problem using the substitution method? -2x + y =16 4x + 18Y... (answered by Alan3354)
Solve this system using the Substitution Method: x + y = 7/2 4x - 3y = -14 (answered by cutepiscean5)
Solve this system using the Substitution Method: x + y = 7/2 4x - 3y =... (answered by jim_thompson5910)
Solve the system by the substitution method. 3x/2+y/5=-3... (answered by stanbon)
Solve the following system of equations using the substitution method: 4x - y = -6 x... (answered by elima)