Question

Which of these ordered pairs is the best estimate of the solution of the system y = 3x + 2 and y = -1/4 x + 1?

Answer 1

If the solution exists, y=y....

3x+2=-x/4+1  make everything have a common denominator of 4...

(12x+8)/4=(-x+4)/4 now multiply both sides by 4

12x+8=4-x  add x to both sides

13x+8=4  subtract 8 from both sides

13x=-4  divide both sides by 13

x=-4/13

x≈-0.31  and the only pair in your choices having an x value close to that is:

(-0.3, 1.1)