solve the linear system by graphing or by substitution y=2x+1 , y=-X+4

⚑ Flag

This one is a bit different.The solution to a system of equation occurs at the value of (x,y) that makes both equations true.So...y is the same for both equations. If y is the same for both equations, then we are looking for the value of x that makes the following equation true.2x + 1 = x + 4a bit of algebra leads to a solution of x = 3.If you think of the graphs of our original equations, we now know that they intersect when x = 3.If x = 3, then y = 2(3) + 1. So, y = 7The solution is (x,y) = (3,7)