eq_2[0];
        system_3_eq_1[1] = 0.0;
        system_3_eq_1[2] -= system_3_eq_2[2];
    } else if (system_3_eq_1[1] == 0.0 && system_3_eq_1[0] != 1.0 && system_3_eq_1[0] != system_3_eq_2[0] && system_3_eq_2[0] != 0.0 ) {
        document.getElementById('step_name').innerHTML = "Divided the 1st equation by its 1st coefficient.";
        system_3_eq_1[2] /= system_3_eq_1[0];
        system_3_eq_1[0] = 1.0;
    } else if (system_3_eq_1[1] == 0.0 && system_3_eq_1[0] == 1.0 && system_3_eq_2[0] != 1.0 && syste