Q:

A system of equations is graphed on the coordinate plane. y=−x+5y=2x−1 What is the solution to the system of equations? Enter the coordinates of the solution

Accepted Solution

A:
we have[tex]y=-x+5[/tex] ------> equation A[tex]y=2x-1[/tex] ------> equation B  Method 1Equate equation A and equation B[tex]-x+5=2x-1[/tex] solve for x[tex]2x+x=5+1[/tex] [tex]3x=6[/tex] [tex]x=2[/tex] Find the value of y[tex]y=2x-1[/tex] [tex]y=2*2-1=3[/tex] The solution is the point [tex](2,3)[/tex]thereforethe answer is[tex](2,3)[/tex]Method 2we know thatThe intersection point both graphs is the solution of the system of linear equationsusing a graphing toolsee the attached figure the intersection point is [tex](2,3)[/tex]thereforethe answer is[tex](2,3)[/tex]