m_3_eq_2[0] != 0.0) {
        document.getElementById('step_name').innerHTML = "Multiplied the 1st equation by the 1st coefficient from the 2nd.";    
        system_3_eq_1[2] *= system_3_eq_2[0];
        system_3_eq_1[0] = system_3_eq_2[0];
    } else if (system_3_eq_1[1] == 0.0 && system_3_eq_1[0] == system_3_eq_2[0]) {
        document.getElementById('step_name').innerHTML = "Subtracted the 1st equation from the 2nd.";
        system_3_eq_2[0] = 0.0;
        system_3_eq_2[1] -= system_3_eq_1[1];
        