y=2x+1 y=-x+4 what is the system of equation

Question

i need help

Answer 1

y=2x+1

y=-x+4

 

The above equations are both linear equations, meaning their graphs are straight lines.  The solution of the system of equation is the point where the two lines cross.  You can find this point by setting the two equations equal and solving for x:

 

2x + 1 = -x + 4

3x = 3

x = 1

 

To find y, plug x=1 into either linear equation and compute the y-value:

 

y = -x + 4

y = -(1) + 4

y = 3

 

The solution, or point where the lines cross, is at the point (1,3).