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

(0.5, 0.5)

(0.8, - 0.5)

(1.2, 0.8)

(-0.3, 1.1)

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)