Tenisha solved the equation below by graphing a system of equations. mc018-1.jpg which point approximates the solution for tenisha’s system of equations? (0.9, 0.8) (1.0, 1.4) (2.3, 1.1) (2.7, 13.3) mathematics

Log3 5x = log5 (2x + 8) implies log3 5x = 2log5 . x + 8log5

log3 5x - 2log5 . x = 8log5 and (5log3 - 2log5)x = 8log5

Finally, x = 8log5 / (5log3 - 2log5) = a let y = log5 (2x + 8), so y(a) = log5 (2a + 8)   The point approximating the solution is  P( a, y(a))  or P ( 8log5 / (5log3 - 2log5,    log5[2 (8log5 / (5log3 - 2log5)) + 8])

Therefore, by graphing a system of equations, the points that approximate the solution for Tenisha’s system of equations are points (1.0, 1.4).

1- a    2 - d3 - e4 - f5 - c6 - g7 - h8 - b