SOLUTION: How do I solve a system of quations using substitution when the euations are y=x+4 y=3x The answer can either be no solution or infinitely many solutions, please explain your wo

Question 398: How do I solve a system of quations using substitution when the euations are
y=x+4
y=3x
The answer can either be no solution or infinitely many solutions, please explain your work
Answer by arden42(16) (Show Source): You can put this solution on YOUR website!
If and then substituting the second equation into the first gives us:

This is now simple to solve for x:

We can now substitute this value into either of the first equations to get the value of y (I'll use the first):

Result:
, . Graphically, this means that the 2 lines intersect at (2,6), as can be seen if we put them onto a graph:

RELATED QUESTIONS
When a system cannot be solved because it is independent does that mean that there is no... (answered by richwmiller)

can you help me solve this equation? I am trying to solve a system of linear... (answered by xcentaur)

how do i solve this equation using either substitution or elimination y=x+4 y=3x (answered by timvanswearingen)

When it says solve using the substitution method, how do you solve the equation when... (answered by longjonsilver)

using substitution to solve each system of quations for x=8y-10... (answered by oberobic)

Solve the system using substitution. y = x + 4 y =... (answered by MathLover1)

Can you please help me. I'm want to solve this system of equation using the substitution... (answered by Alan3354)

y=2x x+y=12 How do I solve the system of equation using the substitution... (answered by elima)

Solve the system of equations using the substitution method 1. x+y=4 (answered by richwmiller)