The graph below shows a system of equations: Draw a line labeled y equals minus x plus 5 by joining the ordered pairs 0, 5 and 5, 0. Draw a line labeled y equals x minus 1 The x-coordinate of the solution to the system of equations is ___ . (5 points)
Accepted Solution
A:
Answer:The x-coordinate of the solution is x=3Step-by-step explanation:we have[tex]y=-x+5[/tex] ------> equation A[tex]y=x-1[/tex] ------> equation BSolve the system of equations by substitutionSubstitute equation B in equation A and solve for x[tex]x-1=-x+5[/tex][tex]x+x=5+1[/tex][tex]2x=6[/tex][tex]x=3[/tex]Find the value of y[tex]y=x-1[/tex] ------> [tex]y=3-1=2[/tex] The solution of the system of equations is the point (3,2)thereforeThe x-coordinate of the solution is x=3