Answer is table 4
Step by step
Y1 is y = 4x -9
Y2 is y = 2x - 5
Our coordinates are (2,-1)
To find if the solution is true for each table, plug the solution in for y1 and y2
Table 1
Y1 is -13 = 4(-1) -9 = -13 ✅
Y2 is -13 = 2(-1) -5 = -7 ❌ stop no solution
Table 2
Y1 is -13 = 4(-1) -9 = -13 ✅
Y2 is -7 = 2(-1) - 5 = -7 ✅
Y1 is -9 = 4(0) -9 = -9 ✅
Y2 is -5 = 2(0) - 5 = -5 ✅
Y1 is -5 = 4(1) -9 = -5 ✅
Y2 is -3 = 2(1) - 5 = -3 ✅
Y1 is 3 = 4(2) - 9 = ❌
Y2 is 1 = 2(2) - 5 = ❌ stop no solution
Table 3
Y1 is -13 = 4(-1) -9 = -13 ✅
Y2 is -7 = 2(-1) - 5 = -7 ✅
Y1 is -9 = 4(0) -9 = -9 ✅
Y2 is -5 = 2(0) - 5 = -5 ✅
Y1 is -5 = 4(1) -9 = -5 ✅
Y2 is -3 = 2(1) - 5 = -3 ✅
Y1 is 1 = 4(2) -9 = -1 ❌
Y2 is 1 = 2(2) - 5 = -1 ❌ stop no solution
Table 4
Y1 is -13 = 4(-1) -9 = -13 ✅
Y2 is -7 = 2(-1) - 5 = -7 ✅
Y1 is -9 = 4(0) -9 = -9 ✅
Y2 is -5 = 2(0) - 5 = -5 ✅
Y1 is -5 = 4(1) -9 = -5 ✅
Y2 is -3 = 2(1) - 5 = -3 ✅
Y1 is -1 = 4(2) -9 = -1 ✅
Y2 is -1 = 2(2) - 5 = -1 ✅
Y1 is 3 = 4(3) -9 = 3 ✅
Y2 is 1 = 2(3) - 5 = 1 ✅
This table #4 has all solutions correct